2-Graded identities for the tensor square of the Grassmann algebra
نویسندگان
چکیده
منابع مشابه
On the graded identities of the Grassmann algebra∗
We survey the results concerning the graded identities of the infinite dimensional Grassmann algebra. 2010 MSC: 16R10, 16P90, 16S10, 16W50
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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: Linear and Multilinear Algebra
سال: 2014
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2014.896461