Homomorphisms of matrix rings into matrix rings

Differential Polynomial Rings of Triangular Matrix Rings

Generalized module homomorphisms of triangular matrix rings of order three

Let T,U and V be rings with identity and M be a unitary (T,U)-bimodule, N be a unitary (U, V )bimodule, D be a unitary (T, V )-bimodule . We characterize homomorphisms and isomorphisms of the generalized matrix ring Γ = ( T M D 0 U N 0 0 V )

differential polynomial rings of triangular matrix rings

Diagonal Matrix Reduction over Refinement Rings

  Abstract: A ring R is called a refinement ring if the monoid of finitely generated projective R- modules is refinement.  Let R be a commutative refinement ring and M, N, be two finitely generated projective R-nodules, then M~N  if and only if Mm ~Nm for all maximal ideal m of  R. A rectangular matrix A over R admits diagonal reduction if there exit invertible matrices p and Q such that PAQ is...

Presentations of matrix rings

Recently, there has been a significant interest in the combinatorial properties the ring of n×n matrices. The aim of this note is to describe a short (may be the shortest possible) presentation of the matrix ring Matn(Z). This presentation is significantly shorter than the previously known ones, see [7]. Surprisingly, the number of relations in the presentation does not depend on the size of th...