DOIAbstract
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
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
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
Abstract: A ring R is called a (von Neumann) regular ring if for every x 2 R; x = xyx for some y 2 R...
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...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractThis paper completes our characterization of subfields of the matrix ring (F)n when the fiel...
summary:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\i...
AbstractWe give a new proof of a theorem of I. Schur, describing all commutative subalgebras of maxi...
Let R = M-n(K) be the ring of square matrices of order n >= 2 over the ring K = Z/p(k)Z, where p is ...
AbstractThe following question was posed by Faith in 1964. Suppose that R is a subring of a matrix r...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
AbstractA version of Burnside's theorem states that if F is an arbitrary field and A⊂Mn(F) is an irr...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
Abstract: A ring R is called a (von Neumann) regular ring if for every x 2 R; x = xyx for some y 2 R...
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...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractThis paper completes our characterization of subfields of the matrix ring (F)n when the fiel...
summary:Let $K$ be an associative and commutative ring with $1$, $k$ a subring of $K$ such that $1\i...
AbstractWe give a new proof of a theorem of I. Schur, describing all commutative subalgebras of maxi...
Let R = M-n(K) be the ring of square matrices of order n >= 2 over the ring K = Z/p(k)Z, where p is ...
AbstractThe following question was posed by Faith in 1964. Suppose that R is a subring of a matrix r...
We show that a ring with only finitely many noncentral subrings must be either commutative or finite...
All rings in this paper are commutative, with identity. If the ring R is either finitely generated, ...
AbstractA version of Burnside's theorem states that if F is an arbitrary field and A⊂Mn(F) is an irr...
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja ...
AbstractLet Mn(K) be the ring of all n×n matrices over a field K. We describe additive maps G:Mn(K)→...
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
Abstract: A ring R is called a (von Neumann) regular ring if for every x 2 R; x = xyx for some y 2 R...
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