+publisher:"Universidade Estadual de Campinas" +contributor:("Junior, Henrique Guzzo")

Universidade Estadual de Campinas

1. Reis, Júlio César dos, 1979-. Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra.

Degree: 2012, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306363

► Abstract: In this PhD thesis we give bases of the graded polynomial identities of...Note: The complete abstract is available with the full electronic document Advisors/Committee… (more)

Subjects/Keywords: PI-álgebras; Identidade polinomial; Aneís graduados; Matrizes (Matemática); Corpos finitos (Álgebra); PI-algebras; Polynomial identity; Graded rings; Matrix algebra; Finite fields (Algebra)

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

APA (6^th Edition):

Reis, Júlio César dos, 1. (2012). Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306363

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):

Reis, Júlio César dos, 1979-. “Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306363.

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

MLA Handbook (7^th Edition):

Reis, Júlio César dos, 1979-. “Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra.” 2012. Web. 24 Jan 2021.

Vancouver:

Reis, Júlio César dos 1. Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306363.

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

Council of Science Editors:

Reis, Júlio César dos 1. Graduações e identidades graduadas para álgebras de matrizes: Gradings and graded identities for matrix algebra. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306363

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

Universidade Estadual de Campinas

2. 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 January 24, 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. 24 Jan 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 Jan 24]. 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

3. Souza, Manuela da Silva, 1985-. Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2.

Degree: 2013, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306362

► Abstract: The abstract is available with the full electronic document Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukov, Plamen Emilov, 1958-… (more)

Subjects/Keywords: Álgebras não-associativas; PI-álgebras; Lie, Álgebra de; Identidade polinomial graduada; Nonassociative algebras; PI-algebras; Lie algebra; Graded polynomial identity

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

APA (6^th Edition):

Souza, Manuela da Silva, 1. (2013). Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306362

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):

Souza, Manuela da Silva, 1985-. “Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2.” 2013. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306362.

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

MLA Handbook (7^th Edition):

Souza, Manuela da Silva, 1985-. “Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2.” 2013. Web. 24 Jan 2021.

Vancouver:

Souza, Manuela da Silva 1. Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2. [Internet] [Thesis]. Universidade Estadual de Campinas; 2013. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306362.

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

Council of Science Editors:

Souza, Manuela da Silva 1. Propriedade de Specht e crescimento das identidades polinomiais graduadas de sl_2: Specht property and growth of the graded polynomial identities of sl_2. [Thesis]. Universidade Estadual de Campinas; 2013. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306362

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

Universidade Estadual de Campinas

4. 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 January 24, 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. 24 Jan 2021.

Vancouver:

Santulo Junior EA. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2007. [cited 2021 Jan 24]. 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

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