AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, where L,M are lower triangular, U is upper triangular and L and U have all their diagonal entries 1
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractIt is shown that if R is a commutative ring with unity, then every R-algebra, automorphism o...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractIn this paper, we characterize an associative ring over which any n×n(n⩾2) square matrix A c...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
AbstractIn this note, we explicitly describe the automorphism group of the R-algebra of strictly upp...
Let R be a commutative unital ring. A well-known factorization problem is whether any matrix in SLₙ(...
AbstractWe prove that the minimum number ν=ν(Um(R)) such that them×mupper triangular matrix algebra ...
AbstractIn this paper, k-commuting maps on certain triangular algebras are determined. As an applica...
AbstractWe describe the derived and the lower central series of certain subgroups of the Vershik–Ker...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractIt is shown that if R is a commutative ring with unity, then every R-algebra, automorphism o...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
AbstractWe consider the group GLnA of all invertible n by n matrices over a ring A satisfying the fi...
AbstractLet αϵGLn A be a matrix over a commutative ring A with 1 such that (det α)2 = 1. If α is cyc...
AbstractIn this paper, we characterize an associative ring over which any n×n(n⩾2) square matrix A c...
AbstractLet R be a commutative local ring, and M the maximal ideal of R. We prove that if |R/M|>3, t...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
AbstractIn this note, we explicitly describe the automorphism group of the R-algebra of strictly upp...
Let R be a commutative unital ring. A well-known factorization problem is whether any matrix in SLₙ(...
AbstractWe prove that the minimum number ν=ν(Um(R)) such that them×mupper triangular matrix algebra ...
AbstractIn this paper, k-commuting maps on certain triangular algebras are determined. As an applica...
AbstractWe describe the derived and the lower central series of certain subgroups of the Vershik–Ker...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
summary:Let $\mathcal {N}=N_n(R)$ be the algebra of all $n\times n$ strictly upper triangular matric...
AbstractIt is shown that if R is a commutative ring with unity, then every R-algebra, automorphism o...