+publisher:"Universidade Estadual de Campinas" +contributor:("Chestakov, Ivan")

Universidade Estadual de Campinas

1. Popov, Yuri, 1993-. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.

Degree: 2020, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932

► Abstract: Noncommutative Jordan algebras were introduced by Albert. He noted that the structure theories of alternative and Jordan algebras share so many nice properties that… (more)

Subjects/Keywords: Álgebras de Jordan; Representações de álgebras; Álgebras não-associativas; ordan algebras; Representations of algebras; Nonassociative algebras

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APA (6^th Edition):

Popov, Yuri, 1. (2020). Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Popov, Yuri, 1993-. “Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.” 2020. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Popov, Yuri, 1993-. “Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan.” 2020. Web. 09 Mar 2021.

Vancouver:

Popov, Yuri 1. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. [Internet] [Thesis]. Universidade Estadual de Campinas; 2020. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Popov, Yuri 1. Representations of noncommutative Jordan superalgebras : Representações de superálgebras não comutativas de Jordan: Representações de superálgebras não comutativas de Jordan. [Thesis]. Universidade Estadual de Campinas; 2020. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/354932

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

2. Yasumura, Felipe Yukihide, 1991-. Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais.

Degree: 2018, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333346

► Abstract: In this thesis, we classify group gradings on the algebra of upper triangular matrices, viewed as Lie and Jordan algebras, over an arbitrary field… (more)

Subjects/Keywords: Álgebras graduadas; Identidades polinomiais graduadas; Matrizes triangulares superiores; Graded algebras; Graded polynomial identities; Upper triangular matrices

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Yasumura, Felipe Yukihide, 1. (2018). Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333346

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yasumura, Felipe Yukihide, 1991-. “Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais.” 2018. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333346.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yasumura, Felipe Yukihide, 1991-. “Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais.” 2018. Web. 09 Mar 2021.

Vancouver:

Yasumura, Felipe Yukihide 1. Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais. [Internet] [Thesis]. Universidade Estadual de Campinas; 2018. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333346.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yasumura, Felipe Yukihide 1. Group gradings on triangular matrices and graded identities of universal algebras : Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais: Graduações por grupo nas álgebras de matrizes triangulares e identidades graduadas de álgebras universais. [Thesis]. Universidade Estadual de Campinas; 2018. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333346

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

3. Machado, Gustavo Grings, 1987-. Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras.

Degree: 2014, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359

► Abstract: In this thesis we study the invariant called Gelfand-Kirillov Dimension for algebras with polynomial identities, mainly for non-associative algebras, aiming at better understanding the… (more)

▼ Abstract: In this thesis we study the invariant called Gelfand-Kirillov Dimension for algebras with polynomial identities, mainly for non-associative algebras, aiming at better understanding the structure of the polynomial identities. This invariant has gained importance lately since in many cases it is relatively easy to calculate and, surprisingly, it is capable of distinguishing the growth of two algebras. For associative algebras GK-dimension was found to be very useful to detect that algebras which on one hand are PI-equivalent over fields of characteristic zero, according to Tensor Product Theorem of Kemer, on the other hand are not PI-equivalent when the characteristic of the infinite base field is positive. This points towards the rise of new ????-ideals, sets of identities satisfied by an algebra, which are ????-prime for infinite fields of positive characteristic. The classification and the understanding of such ????-ideals in positive characteristic are still open problems, although it is well understood for associative PI-Algebras in characteristic zero, using Kemer¿s theory. The situation is much less clear for varieties of non-associative algebras like Jordan Algebras or Lie Algebras. Very little is known about results towards a classification of ????-ideals outside the associative case, even over fields of characteristic zero. Accordingly little is known concerning the behavior of ????-ideals, even for simple algebras. Here we make a step towards this goal by computing some GK-dimensions of some relatively free algebras of finite rank by using the expression of the Hilbert series. In particular we compute the Gelfand-Kirillov dimension of the relatively free algebra of any finite rank generated by the Lie Algebra of the 2 × 2 traceless matrices over an infinite field of characteristic different from 2. We hope that results in this direction will contribute to a better understanding of the behavior of ????-ideals in non-associative algebras Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukov, Plamen Emilov, 1958- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Lopatin, Artem (committee member), Chestakov, Ivan (committee member), Junior, Henrique Guzzo (committee member), Ferreira, Vitor de Oliveira (committee member).

Subjects/Keywords: Gelfand-Kirillov, Dimensão de; PI-álgebras; Álgebras livres; Lie, Álgebra de; Gelfand-Kirillov dimension; PI-algebras; Free algebras; Lie algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Machado, Gustavo Grings, 1. (2014). Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Machado, Gustavo Grings, 1987-. “Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras.” 2014. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Machado, Gustavo Grings, 1987-. “Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras.” 2014. Web. 09 Mar 2021.

Vancouver:

Machado, Gustavo Grings 1. Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2014. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Machado, Gustavo Grings 1. Dimensão de Gelfand-Kirillov em álgebras relativamente livres: Gelfand-Kirillov dimension in relatively free algebras. [Thesis]. Universidade Estadual de Campinas; 2014. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

4. Silva, Diogo Diniz Pereira da Silva e. Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras.

Degree: 2010, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367

► Abstract: In this thesis we study graded identities in non associative algebras. Namely we study graded polynomial identities for the Lie algebra of the 2_2… (more)

Subjects/Keywords: Álgebra não-comutativa; Polinômios; Jordan, Álgebras de; Lie, Álgebra de; PI-álgebras; Noncommutative algebra; PI-algebras; Polynomials; Jordan algebras; Lie, Algebra de

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Silva, D. D. P. d. S. e. (2010). Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Silva, Diogo Diniz Pereira da Silva e. “Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras.” 2010. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Silva, Diogo Diniz Pereira da Silva e. “Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras.” 2010. Web. 09 Mar 2021.

Vancouver:

Silva DDPdSe. Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2010. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Silva DDPdSe. Identidades graduadas em álgebras não-associativas: Granded identities in non associative algebras. [Thesis]. Universidade Estadual de Campinas; 2010. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306367

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

5. Freitas, Jose Antonio Oliveira de. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.

Degree: 2009, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

► Abstract: In this PhD thesis we study graded polynomial identities for certain types of algebras. First, we study polynomial identities satised by the Z2-graded tensor… (more)

▼ Abstract: In this PhD thesis we study graded polynomial identities for certain types of algebras. First, we study polynomial identities satised by the Z2-graded tensor products. This research was motivated by the paper of Regev and Seeman about the Z2-graded tensor products. They proved that in a series of cases such tensor products are PI equivalent to T-prime algebras. Then they conjectured that this is always the case. We deal here with the remaining cases and thus conrm Regev and Seeman's conjecture. Furthermore, we prove that for some algebras we can remove the restriction on the characteristic of the base eld, and we show that the behaviour of the corresponding graded tensor products is quite similar to that for the usual ungraded tensor products. We consider too the graded tensor products and their identities where is a skew symmetric bicharacter. We show that Regev's A B theorem holds for graded tensor products whenever the gradings are by nite abelian groups. Furthermore we study the PI equivalence of -graded tensor products of T-prime algebras. Afterwards we study the graded identities of the Lie algebra W1. We describe a set of generators of the Z-graded identities of W1. The algebra W1 is the algebra of derivation of the polynomial ring K[t], and it is known as the Witt algebra. We prove that if K is a eld of characteristic 0, then the Z-graded identities of W1 are consequences of a collection of polynomials of degree 2 and 3. Furthermore we prove that the Z-graded identities for W1 do not admit a nite basis. Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukov, Plamen Emilov, 1958- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Jardim, Marcos Benevenuto (committee member), Chestakov, Ivan (committee member), Futorny, Vyacheslav (committee member), Guerreiro, Marines (committee member).

Subjects/Keywords: Produtos tensoriais; Lie, Álgebra de; PI-álgebras; Álgebra não-comutativa; PI-algebras; Tensor products; Lie algebras; Noncommutative algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Freitas, J. A. O. d. (2009). Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Freitas, Jose Antonio Oliveira de. “Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.” 2009. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Freitas, Jose Antonio Oliveira de. “Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.” 2009. Web. 09 Mar 2021.

Vancouver:

Freitas JAOd. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. [Internet] [Thesis]. Universidade Estadual de Campinas; 2009. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Freitas JAOd. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. [Thesis]. Universidade Estadual de Campinas; 2009. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

6. Santulo Junior, Ednei Aparecido. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.

Degree: 2007, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

► Abstract: Kemer classified, up to PI-equivalence, the T-prime algebras in the case of characteristic zero, and in his celebrated Tenso r Product Theorem (TPT) he… (more)

Subjects/Keywords: Teoremas de mergulho; PI-álgebras; Álgebra não-comutativa; PI-algebras; Noncommulative algebra; Embedding theorems

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Santulo Junior, E. A. (2007). Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Santulo Junior, Ednei Aparecido. “Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.” 2007. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Santulo Junior, Ednei Aparecido. “Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.” 2007. Web. 09 Mar 2021.

Vancouver:

Santulo Junior EA. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2007. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Santulo Junior EA. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. [Thesis]. Universidade Estadual de Campinas; 2007. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

7. Fidelis, Marcello. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.

Degree: 2005, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

► Abstract: In this work we study tensor products of T-prime T-ideals over infinite fields. The behaviour of these tensor products over a field of characteristic… (more)

Subjects/Keywords: Polinômios; Anéis (Álgebra); Álgebra não-comutativa; Polynomials; Rings (Algebra); Noncommutative algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Fidelis, M. (2005). Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Thesis, Universidade Estadual de Campinas. Accessed March 09, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Web. 09 Mar 2021.

Vancouver:

Fidelis M. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2005. [cited 2021 Mar 09]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fidelis M. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. [Thesis]. Universidade Estadual de Campinas; 2005. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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