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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Leal, Guilherme Augusto de la Rocque"). One record found.

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Universidade Estadual de Campinas

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

Degree: 2005, Universidade Estadual de Campinas

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 zero was described by Kemer. First we show, using methods due to Regev, that such a description holds if one restricts oneself to multilinear polynomials only. Second, applying graded polynomial identities, we prove that the Tensor Product Theorem fails for the T-ideals of the algebras M1,1(E) and E E where E is the infinite dimensional Grassmann algebra; M1,1(E) consists of the 2×2 matrices over E having even (i.e. central) elements of E in the main diagonal, and the other diagonal consisting of odd (anticommuting) elements of E. Then we pass to other tensor products and study the respective graded identities. We obtain new proofs of some cases of Kemer's Tensor Product Theorem. Note that these proofs do not depend on the structure theory of T-ideals but are "elementary" ones. Finally, using graded polynomial identities once again, we show that the Tensor Product Theorem fails in one more case when the base field is of positive characteristic. All this comes to show once more that the structure theory of T-ideals is essentially about the multilinear polynomial identities 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), Engler, Antonio José (committee member), Chestakov, Ivan (committee member), Leal, Guilherme Augusto de la Rocque (committee member), Futorny, Vyacheslav (committee member).

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 (6th 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 (16th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Thesis, Universidade Estadual de Campinas. Accessed January 26, 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 (7th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Web. 26 Jan 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 Jan 26]. 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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