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
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...
AbstractLet Rij be a given set of μi× μj matrices for i, j=1,…, n and |i−j| ⩽m, where 0⩽m⩽n−1. Neces...
AbstractLet A,B be n×n matrices with entries in an algebraically closed field F of characteristic ze...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
AbstractComplete blocked triangular matrix rings over division rings are characterized as left artin...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
A ring R is uniquely (strongly) clean provided that for any a ∈ R there exists a unique idempo...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
AbstractLet R be a left noetherian p.i. ring and M a maximal (semimaximal) ideal in R satisfying ∩iM...
AbstractWe say that a rectangular matrix over a ring with identity is totally nonsingular (TNS) if f...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
summary:We completely determine when a ring consists entirely of weak idempotents, units and nilpote...
AbstractA ring is called a left p.p. ring if every principal left ideal is projective. The objective...
Abstract: A ring R is uniquely (strongly) clean provided that for any a 2 R there exists a unique id...
© 2018, Pleiades Publishing, Ltd. We obtain explicit criteria for the isomorphism of formal matrix r...
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...
AbstractLet Rij be a given set of μi× μj matrices for i, j=1,…, n and |i−j| ⩽m, where 0⩽m⩽n−1. Neces...
AbstractLet A,B be n×n matrices with entries in an algebraically closed field F of characteristic ze...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
AbstractComplete blocked triangular matrix rings over division rings are characterized as left artin...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
A ring R is uniquely (strongly) clean provided that for any a ∈ R there exists a unique idempo...
AbstractLet R be a complete blocked triangular matrix algebra over an infinite field F. Assume that ...
AbstractLet R be a left noetherian p.i. ring and M a maximal (semimaximal) ideal in R satisfying ∩iM...
AbstractWe say that a rectangular matrix over a ring with identity is totally nonsingular (TNS) if f...
AbstractA ring is called uniquely clean if every element is uniquely the sum of an idempotent and a ...
summary:We completely determine when a ring consists entirely of weak idempotents, units and nilpote...
AbstractA ring is called a left p.p. ring if every principal left ideal is projective. The objective...
Abstract: A ring R is uniquely (strongly) clean provided that for any a 2 R there exists a unique id...
© 2018, Pleiades Publishing, Ltd. We obtain explicit criteria for the isomorphism of formal matrix r...
AbstractIt is proved that each matrix over a principal ideal ring is equivalent to some diagonal mat...
AbstractLet Rij be a given set of μi× μj matrices for i, j=1,…, n and |i−j| ⩽m, where 0⩽m⩽n−1. Neces...
AbstractLet A,B be n×n matrices with entries in an algebraically closed field F of characteristic ze...
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