On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra

Ribeiro Tomaz da Silva, Viviane

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 417-432
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: Primary: 16R10, Secondary: 16W55.The main purpose of this paper is to provide a survey of results concerning the ordinary and Z2-graded polynomial identities of the infinite dimensional Grassmann algebra over a field of characteristic zero, as well as of its sequences of ordinary and Z2-graded codimensions and cocharacters. We also intend to describe briefly the techniques used by the authors in order to illustrate some important methods used in PI-theory.∗ Partially supported by Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico – CNPq – Brasil and “Para mulheres na Ciência” (L’Oréal/UNESCO/Academia Brasileira de Ciências).

How to cite

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Ribeiro Tomaz da Silva, Viviane. "On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra." Serdica Mathematical Journal 38.1-3 (2012): 417-432. <http://eudml.org/doc/288261>.

@article{RibeiroTomazdaSilva2012,
abstract = {2010 Mathematics Subject Classification: Primary: 16R10, Secondary: 16W55.The main purpose of this paper is to provide a survey of results concerning the ordinary and Z2-graded polynomial identities of the infinite dimensional Grassmann algebra over a field of characteristic zero, as well as of its sequences of ordinary and Z2-graded codimensions and cocharacters. We also intend to describe briefly the techniques used by the authors in order to illustrate some important methods used in PI-theory.∗ Partially supported by Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico – CNPq – Brasil and “Para mulheres na Ciência” (L’Oréal/UNESCO/Academia Brasileira de Ciências).},
author = {Ribeiro Tomaz da Silva, Viviane},
journal = {Serdica Mathematical Journal},
keywords = {Ordinary Polynomial Identities; Graded Polynomial Identities; Cocharacters; Codimensions; Grassmann Algebra},
language = {eng},
number = {1-3},
pages = {417-432},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra},
url = {http://eudml.org/doc/288261},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Ribeiro Tomaz da Silva, Viviane
TI - On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 417
EP - 432
AB - 2010 Mathematics Subject Classification: Primary: 16R10, Secondary: 16W55.The main purpose of this paper is to provide a survey of results concerning the ordinary and Z2-graded polynomial identities of the infinite dimensional Grassmann algebra over a field of characteristic zero, as well as of its sequences of ordinary and Z2-graded codimensions and cocharacters. We also intend to describe briefly the techniques used by the authors in order to illustrate some important methods used in PI-theory.∗ Partially supported by Conselho Nacional de Desenvolvimento Cientı́fico e Tecnológico – CNPq – Brasil and “Para mulheres na Ciência” (L’Oréal/UNESCO/Academia Brasileira de Ciências).
LA - eng
KW - Ordinary Polynomial Identities; Graded Polynomial Identities; Cocharacters; Codimensions; Grassmann Algebra
UR - http://eudml.org/doc/288261
ER -

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