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Communications in Algebra Volume 45, 2017 - Issue 1
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Original Articles

On ℤp-graded identities and cocharacters of the Grassmann algebra

Onofrio Mario Di VincenzoDipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Potenza, Italy
,
Plamen KoshlukovDepartment of Mathematics, State University of Campinas, Campinas, SP, Brazil
&
Viviane Ribeiro Tomaz Da SilvaDepartamento de Matemática, Instituto de Ciências Exatas, Universidade Federal de Minas Gerais, Belo Horizonte, BrazilCorrespondence[email protected]
Pages 343-356 | Received 12 Feb 2015, Published online: 11 Oct 2016
 
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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 ℤp-graded identities.Moreover we compute the ℤp-graded codimension and cocharacter sequences for the algebra E endowed with any ℤp-grading such that L is a homogeneous subspace.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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