AbstractComplete blocked triangular matrix rings over division rings are characterized as left artinian rings which satisfy suitably restricted primeness conditions. A matrix representation is also provided for the class of nonsingular left artinian C-prime rings
In a recent paper of Alahmadi, Alkan and Lopez-Permouth, a ring R is defined to have no (simple) mid...
AbstractA ring is called a left p.p. ring if every principal left ideal is projective. The objective...
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy prope...
AbstractWe prove a Wedderburn–Artin type theorem for algebraic prime subalgebras in simple Artinian ...
AbstractA module RM is semiprime if for each 0 ≠ m ϵ M there exists ƒ ϵ HomR(M, R) with (mƒ)m ≠ 0. I...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
AbstractIn this paper we investigate the class of piecewise prime, PWP, rings which properly include...
AbstractA basic Artinian serial ring can be realized as the subdirect product of factor rings of (S,...
Proves two famous theorems attributed to J.H.M. Wedderburn, which concern the structure of noncommut...
AbstractThis paper discusses the theory of similarity of matrices over a commutative Artinian princi...
We study the problem asking which ideals in Noetherian rings have the Artin-Rees property, and want ...
A method for representing rings as matrix rings is used to investigate the structures of several we...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
A class of rings in which each member is the extension of a nilpotent torsion ring by a semisimple s...
In a recent paper of Alahmadi, Alkan and Lopez-Permouth, a ring R is defined to have no (simple) mid...
AbstractA ring is called a left p.p. ring if every principal left ideal is projective. The objective...
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy prope...
AbstractWe prove a Wedderburn–Artin type theorem for algebraic prime subalgebras in simple Artinian ...
AbstractA module RM is semiprime if for each 0 ≠ m ϵ M there exists ƒ ϵ HomR(M, R) with (mƒ)m ≠ 0. I...
AbstractWe show that the underlying Boolean matrix B of a complete blocked triangular matrix ring M(...
We carry out a study of rings R for which HomR (M;N) 6= 0 for all nonzero N ≤ MR. Such rings are cal...
AbstractIn this paper we investigate the class of piecewise prime, PWP, rings which properly include...
AbstractA basic Artinian serial ring can be realized as the subdirect product of factor rings of (S,...
Proves two famous theorems attributed to J.H.M. Wedderburn, which concern the structure of noncommut...
AbstractThis paper discusses the theory of similarity of matrices over a commutative Artinian princi...
We study the problem asking which ideals in Noetherian rings have the Artin-Rees property, and want ...
A method for representing rings as matrix rings is used to investigate the structures of several we...
AbstractNakayama [T. Nakayama, On Frobeniusean algebras II, Annals of Mathematics 42 (1941) 1–21] sh...
A class of rings in which each member is the extension of a nilpotent torsion ring by a semisimple s...
In a recent paper of Alahmadi, Alkan and Lopez-Permouth, a ring R is defined to have no (simple) mid...
AbstractA ring is called a left p.p. ring if every principal left ideal is projective. The objective...
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy prope...
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