# 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

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topRibeiro 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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