AbstractThe following theorem is proved: Let R be a commutative ring. If the ring of all n×n matrices with elements in R contains a subfield, then R contains a subfield. The result is false for general non-commutative rings R
AbstractIf R is a commutative ring, A and B ideals of R, and S and T multiplicative submonoids of R,...
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic str...
AbstractThe following theorem is proved: Let R be a commutative ring. If the ring of all n×n matrice...
AbstractLet Zm denote the ring of integers modulo m, and let (Zm)n denote the complete ring of all n...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractA version of Burnside's theorem states that if F is an arbitrary field and A⊂Mn(F) is an irr...
In this paper we provide an elementary and easy proof that a proper subalgebra of the matrix algebra...
AbstractLet F be a field, and let Mn(F) be the algebra of n×n matrices over F. Let A, B ∈ Mn(F) with...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet Mp denote the full algebra of pXp matrices, and let M(k)p denote the algebra of (pk)X(pk...
summary:Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general...
In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring...
AbstractThis paper completes our characterization of subfields of the matrix ring (F)n when the fiel...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractIf R is a commutative ring, A and B ideals of R, and S and T multiplicative submonoids of R,...
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic str...
AbstractThe following theorem is proved: Let R be a commutative ring. If the ring of all n×n matrice...
AbstractLet Zm denote the ring of integers modulo m, and let (Zm)n denote the complete ring of all n...
AbstractRoth's theorem on the solvability of matrix equations of the form AX−YB=C is proved for matr...
AbstractA version of Burnside's theorem states that if F is an arbitrary field and A⊂Mn(F) is an irr...
In this paper we provide an elementary and easy proof that a proper subalgebra of the matrix algebra...
AbstractLet F be a field, and let Mn(F) be the algebra of n×n matrices over F. Let A, B ∈ Mn(F) with...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet Mp denote the full algebra of pXp matrices, and let M(k)p denote the algebra of (pk)X(pk...
summary:Let $R$ be an arbitrary commutative ring with identity, $\operatorname{gl}(n,R)$ the general...
In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring...
AbstractThis paper completes our characterization of subfields of the matrix ring (F)n when the fiel...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractIf R is a commutative ring, A and B ideals of R, and S and T multiplicative submonoids of R,...
AbstractIt is shown that a noncommutative simple algebra generated over a field F by two idempotents...
PhDIn this thesis we study the relationship between the lattice of submodules and the algebraic str...
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