On Z(p)-graded identities and cocharacters of the Grassmann algebra

Di Vincenzo, Onofrio Mario; Koshlukov, Plamen; Tomaz da Silva, Viviane Ribeiro

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On Z(p)-graded identities and cocharacters of the Grassmann algebra

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Author(s):	Di Vincenzo, Onofrio Mario ; Koshlukov, Plamen ; Tomaz da Silva, Viviane Ribeiro Total Authors: 3
Document type:	Journal article
Source:	COMMUNICATIONS IN ALGEBRA; v. 45, n. 1, p. 343-356, 2017.
Web of Science Citations:	0
Abstract
Let p be an odd prime number, F a field of characteristic zero, and let Ebe the unitary Grassmann algebra generated by the infinite-dimensionalF-vector space L. We determine the bases of the Z(p)-graded identities.Moreover we compute the Z(p)-graded codimension and cocharacter sequences for the algebra E endowed with any Z(p)-grading such that L is a homogeneous subspace. (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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