On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 417-432
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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.
Keywords:
Ordinary Polynomial Identities, Graded Polynomial Identities, Cocharacters, Codimensions, Grassmann Algebra
@article{SMJ2_2012_38_1-3_a18,
author = {Ribeiro Tomaz da Silva, Viviane},
title = {On {Ordinary} and {Z2-graded} {Polynomial} {Identities} of the {Grassmann} {Algebra}},
journal = {Serdica Mathematical Journal},
pages = {417--432},
year = {2012},
volume = {38},
number = {1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a18/}
}
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 SP - 417 EP - 432 VL - 38 IS - 1-3 UR - http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a18/ LA - en ID - SMJ2_2012_38_1-3_a18 ER -
Ribeiro Tomaz da Silva, Viviane. On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 417-432. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a18/