AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to a sum x+y, which is an orthogonal Pierce decomposition. This is then used to show that a lower triangular matrix, with a regular diagonal is equivalent to its diagonal iff the matrix admits a lower triangular von Neumann inverse
AbstractWe generalize some results of Yasuhiko Ikebe concerning the inverse of an upper Hessenberg m...
Some well-known results for matrices over a principal ideal domain are generalized to matrices over ...
AbstractAn algorithm is presented which performs the triangular decomposition of the inverse of a gi...
A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to...
AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equival...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
In this paper, we examine the question of regularity of sums of special elements that appear in the...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
We shall use the minus partial order combined with Pierce’s decomposition to derive the class of out...
AbstractIn this paper, we consider the product of matrices PAQ, where A is von Neumann regular and t...
AbstractGiven a von Neumann regular element a and an element j in the Jacobson radical J(R) of a rin...
AbstractWe describe a technique that permits the representation of the inverse of a matrix A with on...
AbstractThis paper is concerned with the following questions. Given a square matrix A, when does the...
In this paper, we study the recently defined notion of the inverse along an element. An existence cr...
In this paper, we characterize the existence and give an expression of the group inverse of a produc...
AbstractWe generalize some results of Yasuhiko Ikebe concerning the inverse of an upper Hessenberg m...
Some well-known results for matrices over a principal ideal domain are generalized to matrices over ...
AbstractAn algorithm is presented which performs the triangular decomposition of the inverse of a gi...
A class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equivalent to...
AbstractA class of sufficient conditions is given to ensure that the sum a+b in a ring R, is equival...
In this paper, we investigate the recently defined notion of inverse along an element in the context...
In this paper, we examine the question of regularity of sums of special elements that appear in the...
AbstractWe characterize commutative rings with 1 over which any n×n matrix A can be written as LUM, ...
We shall use the minus partial order combined with Pierce’s decomposition to derive the class of out...
AbstractIn this paper, we consider the product of matrices PAQ, where A is von Neumann regular and t...
AbstractGiven a von Neumann regular element a and an element j in the Jacobson radical J(R) of a rin...
AbstractWe describe a technique that permits the representation of the inverse of a matrix A with on...
AbstractThis paper is concerned with the following questions. Given a square matrix A, when does the...
In this paper, we study the recently defined notion of the inverse along an element. An existence cr...
In this paper, we characterize the existence and give an expression of the group inverse of a produc...
AbstractWe generalize some results of Yasuhiko Ikebe concerning the inverse of an upper Hessenberg m...
Some well-known results for matrices over a principal ideal domain are generalized to matrices over ...
AbstractAn algorithm is presented which performs the triangular decomposition of the inverse of a gi...
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