+publisher:"Universidade Estadual de Campinas" +contributor:("Lopatin, Artem")

Universidade Estadual de Campinas

1. Mokari, Fatemeh Yeganeh, 1982-. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.

Degree: 2016, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004

► Abstract: In this thesis we study the virtual rational Betti numbers of abelian-by-polycyclic groups and nilpotent-by-abelian groups which are of type FPn. The virtual rational… (more)

Subjects/Keywords: Grupos metabelianos; Homologia (Matemática); Betti, Números de; Metabelian groups; Homology theory; Betti numbers

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

APA (6^th Edition):

Mokari, Fatemeh Yeganeh, 1. (2016). Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004

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):

Mokari, Fatemeh Yeganeh, 1982-. “Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.” 2016. Thesis, Universidade Estadual de Campinas. Accessed March 06, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004.

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

MLA Handbook (7^th Edition):

Mokari, Fatemeh Yeganeh, 1982-. “Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.” 2016. Web. 06 Mar 2021.

Vancouver:

Mokari, Fatemeh Yeganeh 1. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. [Internet] [Thesis]. Universidade Estadual de Campinas; 2016. [cited 2021 Mar 06]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004.

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

Council of Science Editors:

Mokari, Fatemeh Yeganeh 1. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. [Thesis]. Universidade Estadual de Campinas; 2016. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004

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

Universidade Estadual de Campinas

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

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 06, 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. 06 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 06]. 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

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 06, 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. 06 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 06]. 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. Tosti, Altair Santos de Oliveira, 1989-. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.

Degree: 2019, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540

► Abstract: In the present work we study decision problems in Monod¿s group H:=H(ℝ), the group of piecewise projective orientation-preserving homeomorphisms of the projective real line… (more)

Subjects/Keywords: Homeomorfismos; Teoria dos grupos; Problema da conjugação (Matemática); Centralizadores (Matemática); Homeomorphisms; Group theory; Conjugacy problem (Mathematics); Centralizers (Mathematics)

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

APA (6^th Edition):

Tosti, Altair Santos de Oliveira, 1. (2019). Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540

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):

Tosti, Altair Santos de Oliveira, 1989-. “Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.” 2019. Thesis, Universidade Estadual de Campinas. Accessed March 06, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540.

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

MLA Handbook (7^th Edition):

Tosti, Altair Santos de Oliveira, 1989-. “Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.” 2019. Web. 06 Mar 2021.

Vancouver:

Tosti, Altair Santos de Oliveira 1. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. [Internet] [Thesis]. Universidade Estadual de Campinas; 2019. [cited 2021 Mar 06]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540.

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

Council of Science Editors:

Tosti, Altair Santos de Oliveira 1. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. [Thesis]. Universidade Estadual de Campinas; 2019. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540

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

Universidade Estadual de Campinas

5. Mendonça, Luís Augusto de, 1991-. Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude.

Degree: 2020, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/340056

► Abstract: We consider problems in the theories of discrete groups, Lie algebras, and pro-p groups. We present results related mainly to homological finiteness properties of… (more)

▼ Abstract: We consider problems in the theories of discrete groups, Lie algebras, and pro-p groups. We present results related mainly to homological finiteness properties of such algebraic structures. First, we discuss Sigma-invariants of wreath products of discrete groups. We give a complete description of the Sigma1-invariant, which is related to the inheritance of the property of being finitely generated by subgroups. We also describe partially the invariant Sigma2, which is related to the inheritance of finite presentability by subgroups. We apply such results in the study of Reidemeister numbers of isomorphisms of certain wreath products. Then we define and study a version of Sidki¿s weak commutativity construction in the category of Lie algebras over a field whose characteristic is not two. Such construction can be seen as a functor that receives a Lie algebra g and returns a certain quotient chi(g) of the free sum of two isomorphic copies of g. We prove some results on the preservation of certain algebraic properties by this functor, and we show that the Schur multiplier of g is a subquotient of chi(g). We show in particular that, for a free Lie algebra g with at least three free generators, chi(g) is finitely presentable but not of type FP3 , and has infinite cohomological dimension. Finally, we also consider a version of the weak commutativity construction in the category of pro-p groups for a fixed prime number p. We show that such construction also preserves several algebraic properties, as occurs in the cases of discrete groups and Lie algebras. To this end, we also study subdirect products of pro-p groups. In particular we prove a version of the (n ? 1) ? n ? (n + 1) Theorem Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukova, Dessislava Hristova, 1970- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Lopatin, Artem (committee member), Torres Orihuela, Fernando Eduardo (committee member), Alves, Marcelo Muniz Silva (committee member), Ferreira, Vitor de Oliveira (committee member).

Subjects/Keywords: Teoria dos grupos; Lie, Álgebra de; Grupos profinitos; Group theory; Lie algebras; Profinite groups

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

APA (6^th Edition):

Mendonça, Luís Augusto de, 1. (2020). Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/340056

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):

Mendonça, Luís Augusto de, 1991-. “Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude.” 2020. Thesis, Universidade Estadual de Campinas. Accessed March 06, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/340056.

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

MLA Handbook (7^th Edition):

Mendonça, Luís Augusto de, 1991-. “Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude.” 2020. Web. 06 Mar 2021.

Vancouver:

Mendonça, Luís Augusto de 1. Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude. [Internet] [Thesis]. Universidade Estadual de Campinas; 2020. [cited 2021 Mar 06]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/340056.

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

Council of Science Editors:

Mendonça, Luís Augusto de 1. Homological finiteness properties : Propriedades homológicas de finitude: Propriedades homológicas de finitude. [Thesis]. Universidade Estadual de Campinas; 2020. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/340056

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

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