AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(B, R) over a left Noetherian ring R is unique, i.e. if M(B1, R) and M(B2, R) are isomorphic complete blocked triangular matrix rings over a left Noetherian ring R, then B1 = B2
Guided by the research line introduced by Martindale III in [5] on the study of the additivity of ma...
Abstract. Let R,S be rings with identity and M be a unitary (R,S)-bimodule. We characterize homomorp...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
Abstract: A ring R is uniquely (strongly) clean provided that for any a 2 R there exists a unique id...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
We provide a formula for the number of ideals of complete block-triangular matrix rings over any rin...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
AbstractNecessary and sufficient conditions are given for the von Neumann regularity of triangular b...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractIt is well known that if A and B are n × m matrices over a ring R, then coker A ≅ coker B do...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the ...
Necessary and sufficient conditions are given for the von Neumann regularity of triangular block mat...
AbstractFor a given partial upper triangular matrix A and a matrix b over a ring, we characterize th...
Guided by the research line introduced by Martindale III in [5] on the study of the additivity of ma...
Abstract. Let R,S be rings with identity and M be a unitary (R,S)-bimodule. We characterize homomorp...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
Abstract: A ring R is uniquely (strongly) clean provided that for any a 2 R there exists a unique id...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
We provide a formula for the number of ideals of complete block-triangular matrix rings over any rin...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
AbstractNecessary and sufficient conditions are given for the von Neumann regularity of triangular b...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
AbstractIt is well known that if A and B are n × m matrices over a ring R, then coker A ≅ coker B do...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the ...
Necessary and sufficient conditions are given for the von Neumann regularity of triangular block mat...
AbstractFor a given partial upper triangular matrix A and a matrix b over a ring, we characterize th...
Guided by the research line introduced by Martindale III in [5] on the study of the additivity of ma...
Abstract. Let R,S be rings with identity and M be a unitary (R,S)-bimodule. We characterize homomorp...
Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond bijectively t...
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