AbstractA new characterization of von Neumann regular rings is obtained, in terms of simple 0-multiplication of matrices, and is used to establish the natural connections between von Neumann regular rings and feebly Baer modules and rings
It is still unknown whether a SF-ring A (every simple left or right A-module is flat) is von Neumann...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
Many known results on finite von Neumann algebras are generalized, by purely algebraic proofs, to a ...
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neuma...
All rings are commutative with identity and all modules are unital. In this paper, we shall investig...
A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic f...
In this paper, we introduce the notion of “P-von Neumann Regular rings ” which is a generalization o...
We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n− 1)-ring (re...
An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is...
AbstractThe differences between simplicity of a von Neumann regular ring and simplicity of its order...
Abstract: A ring R is called a (von Neumann) regular ring if for every x 2 R; x = xyx for some y 2 R...
AbstractNecessary and sufficient conditions are given in order that a von Neumann regular matrix A o...
Recall that a ring R is said to be a quasi regular ring if its total quotient ring q(R) is von Neuma...
AbstractThis paper is concerned with the existence and uniqueness of rank and pseudo-rank functions ...
AbstractIn 1991, K.C. O'Meara first defined the notion of weak comparability for regular rings, and ...
It is still unknown whether a SF-ring A (every simple left or right A-module is flat) is von Neumann...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
Many known results on finite von Neumann algebras are generalized, by purely algebraic proofs, to a ...
In this paper, we introduce von Neumann regular modules and give many characterizations of von Neuma...
All rings are commutative with identity and all modules are unital. In this paper, we shall investig...
A systematic exposition of Baer *-Rings, with emphasis on the ring-theoretic and lattice-theoretic f...
In this paper, we introduce the notion of “P-von Neumann Regular rings ” which is a generalization o...
We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n− 1)-ring (re...
An element r in a commutative ring R is called regular if there exist s∈R such that rsr=r. Ring R is...
AbstractThe differences between simplicity of a von Neumann regular ring and simplicity of its order...
Abstract: A ring R is called a (von Neumann) regular ring if for every x 2 R; x = xyx for some y 2 R...
AbstractNecessary and sufficient conditions are given in order that a von Neumann regular matrix A o...
Recall that a ring R is said to be a quasi regular ring if its total quotient ring q(R) is von Neuma...
AbstractThis paper is concerned with the existence and uniqueness of rank and pseudo-rank functions ...
AbstractIn 1991, K.C. O'Meara first defined the notion of weak comparability for regular rings, and ...
It is still unknown whether a SF-ring A (every simple left or right A-module is flat) is von Neumann...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
Many known results on finite von Neumann algebras are generalized, by purely algebraic proofs, to a ...
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