The polynomial identities 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
متن کاملThe 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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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولA-identities for the Grassmann Algebra: the Conjecture of Henke and Regev
Let K be an algebraically closed field of characteristic 0, and let E be the infinite dimensional Grassmann (or exterior) algebra over K. Denote by Pn the vector space of the multilinear polynomials of degree n in x1, . . . , xn in the free associative algebra K(X). The symmetric group Sn acts on the left-hand side on Pn, thus turning it into an Sn-module. This fact, although simple, plays an i...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1973
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1973-0325658-5