We determine minimal Cayley-Hamilton and Capelli identities for matrices over a Grassmann algebra of finite rank. For minimal standard identities, we give lower and upper bounds on the degree. These results improve on upper bounds given by L. Marki, J. Meyer, J. Szigeti and L. van Wyk in a recent paper
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Let M-n(F) be the algebra of n x ...
We survey the results concerning the graded identities of the infinite dimensional Grassmann algebra
AbstractWe prove that [formula] is a polynomial identity on Mn(Ω) over any commutative ring Ω with 1...
AbstractThe aim of this paper is to find an (upper) bound for the multiplicities of the cocharacters...
AbstractIt is shown that the characteristic polynomial of matrices over a Lie nilpotent ring introdu...
ABSTRACT In this paper is presented a computational approach to deal with algebras that satisfy poly...
In this note we exhibit bases of the polynomial identities satisfied by the Grassmann algebras over ...
Abstract: We look at the theory of *-polynomial identi-ties of the algebra of n X n matrices over a ...
The problem of classifying the finite dimensional *-minimal algebras up to *-PI equivalence has been...
In this paper we consider the algebra M_{1,1}(E) endowed with the involution ∗ induced by the transp...
Let Mn(F) be the algebra of n x n matrices over a field F of characteristic zero. The superinvolutio...
We prove that [formula] is a polynomial identity on Mn(Ω) over any commutative ring Ω with 1; here Γ...
It is well known that the Cayley-Hamilton theorem is an interesting and important theorem in linear ...
Nesta tese estudamos a álgebra genérica de M1;1 em dois geradores sobre um corpo infinito de caracte...
In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infin...
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Let M-n(F) be the algebra of n x ...
We survey the results concerning the graded identities of the infinite dimensional Grassmann algebra
AbstractWe prove that [formula] is a polynomial identity on Mn(Ω) over any commutative ring Ω with 1...
AbstractThe aim of this paper is to find an (upper) bound for the multiplicities of the cocharacters...
AbstractIt is shown that the characteristic polynomial of matrices over a Lie nilpotent ring introdu...
ABSTRACT In this paper is presented a computational approach to deal with algebras that satisfy poly...
In this note we exhibit bases of the polynomial identities satisfied by the Grassmann algebras over ...
Abstract: We look at the theory of *-polynomial identi-ties of the algebra of n X n matrices over a ...
The problem of classifying the finite dimensional *-minimal algebras up to *-PI equivalence has been...
In this paper we consider the algebra M_{1,1}(E) endowed with the involution ∗ induced by the transp...
Let Mn(F) be the algebra of n x n matrices over a field F of characteristic zero. The superinvolutio...
We prove that [formula] is a polynomial identity on Mn(Ω) over any commutative ring Ω with 1; here Γ...
It is well known that the Cayley-Hamilton theorem is an interesting and important theorem in linear ...
Nesta tese estudamos a álgebra genérica de M1;1 em dois geradores sobre um corpo infinito de caracte...
In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infin...
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Let M-n(F) be the algebra of n x ...
We survey the results concerning the graded identities of the infinite dimensional Grassmann algebra
AbstractWe prove that [formula] is a polynomial identity on Mn(Ω) over any commutative ring Ω with 1...
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