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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Silva, Viviane Ribeiro Tomaz da"). Showing records 1 – 2 of 2 total matches.

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Universidade Estadual de Campinas

1. Mello, Thiago Castilho de, 1984-. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.

Degree: 2012, Universidade Estadual de Campinas

Abstract: In this thesis, we study the generic algebra of M1;1 in two generators over an infinite field of characteristic different from 2. We describe the centre of this algebra and prove that this centre is a direct sum of the field and a nilpotent ideal of the algebra. As a consequence, we show that such centre contains nonscalar elements and thus we answer a question posed by Berele. In characteristic zero we also study the identities of this generic algebra and find a finite basis for its ideal of identities using the description of its centre and the results of Popov, about the identities of M1;1 in characteristic zero. It follows that such a basis is formed by the polynomials [x1; x2][x3; x4][x5; x6], [[x1; x2][x3; x4]; x5] and by s4, the standard identity of degree four. Finally, using ideas and results of Nikolaev about the identities in two variables of M2(K) in characteristic zero, we show that the polynomial identities in two variables of M1;1 follow from [[x1; x2]2; x1] and [x1; x2]³ 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), Júnior, Antônio Pereira Brandão (committee member), Futorny, Vyacheslav (committee member), Silva, Viviane Ribeiro Tomaz da (committee member).

Subjects/Keywords: Identidade polinomial; Grassmann, Álgebra de; Anéis (Álgebra); PI-álgebras; Álgebra não-comutativa; Polynomial identity; Grassmann algebra; Rings (Algebra); PI-algebra; Noncommutative algebras

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

APA (6th Edition):

Mello, Thiago Castilho de, 1. (2012). Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366

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

Chicago Manual of Style (16th Edition):

Mello, Thiago Castilho de, 1984-. “Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366.

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

MLA Handbook (7th Edition):

Mello, Thiago Castilho de, 1984-. “Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.” 2012. Web. 24 Jan 2021.

Vancouver:

Mello, Thiago Castilho de 1. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366.

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

Council of Science Editors:

Mello, Thiago Castilho de 1. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366

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


Universidade Estadual de Campinas

2. Guimarães, Alan de Araujo, 1989-. Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra.

Degree: 2019, Universidade Estadual de Campinas

Abstract: In this thesis we study gradings and graded polynomial identities for the infinite dimensional Grassmann algebra. First we study ℤ2-gradings on E without supposing that the generators of E are homogeneous. Here E denotes the infinite dimensional Grassmann algebra with 1 over a field of characteristic zero. We prove that, for an ample class of non homogeneous ℤ2-gradings of E, the ℤ2-graded polynomial identities coincide with the identities of the homogeneous superalgebras Ek^\ast, E or Ek. Furthermore we construct infinitely many non homogeneous ℤ2-gradings of E that are ℤ2-isomorphic to the structures Ek^\ast, E or Ek. Second we study the structure of E as ℤ-graded algebra, exhibiting a general method to construct ℤ-gradings on E. We describe the T-ideal of the polynomial identities for some ℤ-gradings on E. In particular we describe the ideal of the graded identities for E endowed with its natural ℤ-grading. We did it considering E over a field of characteristic zero and afterwards over an infinite field of characteristic p>2 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), Silva, Viviane Ribeiro Tomaz da (committee member), Santos, Rafael Bezerra dos (committee member), Gonçalves, Dimas José (committee member), Mello, Thiago Castilho de (committee member).

Subjects/Keywords: Grassmann, Álgebra de; Automorfismos; Identidades polinomiais graduadas; Grassmann algebra; Automorphism; Graded polynomial identities

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

APA (6th Edition):

Guimarães, Alan de Araujo, 1. (2019). Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333669

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

Chicago Manual of Style (16th Edition):

Guimarães, Alan de Araujo, 1989-. “Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra.” 2019. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333669.

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

MLA Handbook (7th Edition):

Guimarães, Alan de Araujo, 1989-. “Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra.” 2019. Web. 24 Jan 2021.

Vancouver:

Guimarães, Alan de Araujo 1. Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra. [Internet] [Thesis]. Universidade Estadual de Campinas; 2019. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333669.

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

Council of Science Editors:

Guimarães, Alan de Araujo 1. Graduações e identidades polinomiais graduadas da álgebra de Grassmann: Gradings and graded polynomial identities of the Grassmann algebra. [Thesis]. Universidade Estadual de Campinas; 2019. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333669

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

.