Polynomial identities of M2(G)

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Abstract

We describe an efficient way to use the Sn-module structure in the computation of the multilinear identities of degree n of a given algebra. The method was used to show that M2(G) (where G is the Grassmann algebra) has identities of degree 8, but of no smaller degree. Explicit identities of degree 8 are given. It was also checked that PIdeg(M2,1(G)) ≥ 9 and that M3(F) has no identities of degree ≤ 8 apart from the consequences of the standard identity S6.

Original languageEnglish
Pages (from-to)443-454
Number of pages12
JournalCommunications in Algebra
Volume30
Issue number1
DOIs
StatePublished - Jan 2002
Externally publishedYes

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