The $G$-graded identities of the Grassmann Algebra

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The G-graded Identities of the Grassmann Algebra

Let G be a finite abelian group with identity element 1G and L = ⊕ g∈G L g be an infinite dimensional G-homogeneous vector space over a field of characteristic 0. Let E = E(L) be the Grassmann algebra generated by L. It follows that E is a G-graded algebra. Let |G| be odd, then we prove that in order to describe any ideal of G-graded identities of E it is sufficient to deal with G′-grading, whe...

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ژورنال

عنوان ژورنال: Archivum Mathematicum

سال: 2016

ISSN: 0044-8753,1212-5059

DOI: 10.5817/am2016-3-141