$\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
نویسندگان
چکیده
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
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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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abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.
15 صفحه اولIdentities with involution for the matrix algebra of order two in characteristic p
LetM2(K) be the matrix algebra of order two over an in nite eld K of characteristic p 6= 2. If K is algebraically closed then, up to isomorphism, there are two involutions of rst kind on M2(K), namely the transpose and the symplectic. Even ifK is not algebraically closed, studying -identities it is su cient to consider only these two involutions. We describe bases of the polynomial identities w...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04986-2