For a given commutative ring with an identity element, we define and study the substitution of a matrix with entries in into a matrix polynomial or rational function over . A Bezout-type remainder theorem and a "partial-substitution rule" are derived and used to obtain a number of results. The tensor map is introduced and used to investigate the solvability of linear matrix equations
We present a method that reduces the problem of computing the radical of a matrix algebra over an ar...
AbstractWe present a method that reduces the problem of computing the radical of a matrix algebra ov...
AbstractLet Mn(R) be the algebra of all n×n matrices over a unital commutative ring R with 2 inverti...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remain...
AbstractSubstitution of an operator into an operator-valued map is defined and studied. A Bezout-typ...
We study equations of the form $r(X) = A$, where $r$ is a rational function and $A$ and $X$ are squa...
We study equations of the form r(X)=A, where r is a rational function and A and X are square matrice...
The purpose this script study what characteristic matrix pelynomial over ring use too in substitutio...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractIt is shown that the Behrens radical of a polynomial ring, in either commuting or non-commut...
The minus partial order linear algebraic methods have proven to be useful in the study of complex ma...
AbstractNoncommutative ring theory was described in terms of matrices in its earliest days; we give ...
AbstractFamilies of examples are presented of polynomials over a finite field or a residue class rin...
We present a method that reduces the problem of computing the radical of a matrix algebra over an ar...
AbstractWe present a method that reduces the problem of computing the radical of a matrix algebra ov...
AbstractLet Mn(R) be the algebra of all n×n matrices over a unital commutative ring R with 2 inverti...
For a given commutative ring with an identity element, we define and study the substitution of a mat...
AbstractFor a given commutative ring R with an identity element, we define and study the substitutio...
Substitution of an operator into an operator-valued map is defined and studied. A Bezout-type remain...
AbstractSubstitution of an operator into an operator-valued map is defined and studied. A Bezout-typ...
We study equations of the form $r(X) = A$, where $r$ is a rational function and $A$ and $X$ are squa...
We study equations of the form r(X)=A, where r is a rational function and A and X are square matrice...
The purpose this script study what characteristic matrix pelynomial over ring use too in substitutio...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractIt is shown that the Behrens radical of a polynomial ring, in either commuting or non-commut...
The minus partial order linear algebraic methods have proven to be useful in the study of complex ma...
AbstractNoncommutative ring theory was described in terms of matrices in its earliest days; we give ...
AbstractFamilies of examples are presented of polynomials over a finite field or a residue class rin...
We present a method that reduces the problem of computing the radical of a matrix algebra over an ar...
AbstractWe present a method that reduces the problem of computing the radical of a matrix algebra ov...
AbstractLet Mn(R) be the algebra of all n×n matrices over a unital commutative ring R with 2 inverti...
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