Add to ORKGIt is still unknown whether a SF-ring A (every simple left or right A-module is flat) is von Neumann regular. The following non-trivial generalization of regular rings is considered: write "￥A satisfies(*)" if, for any maximal right ideal ＄M＄ of ＄A＄ , every ＄y￥in M,＄ ＄A/yM＄ is a at right A-module. Conditions are given for such rings to be (a) von Neumann regular; (b) left self-injective regular; (c) right Artinian; (d) right Kasch; (e) ELT regular; (f) strongly regular
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...
AbstractSemiartinian right V-rings, which we call right SV-rings, form a special class of Von Neuman...
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...
Abstract. A ring R is called a left (right) SF-ring if simple left (right) R-modules are flat. It is...
Abstract. A sufficient condition is given for a ring to be either strongly regular or left self-inje...
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...
Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any giv...
ABSRACT In this work we consider weakly regular rings whose simple singular right R-Modules are flat...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has...
Abstract. The purpose of this note is to improve several known results on GQ-injective rings. We inv...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...
AbstractSemiartinian right V-rings, which we call right SV-rings, form a special class of Von Neuman...
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...
Abstract. A ring R is called a left (right) SF-ring if simple left (right) R-modules are flat. It is...
Abstract. A sufficient condition is given for a ring to be either strongly regular or left self-inje...
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...
Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of any giv...
ABSRACT In this work we consider weakly regular rings whose simple singular right R-Modules are flat...
Rosenberg and Zelinsky [10] studied rings over which every module of finite length has an injective ...
During his study of continuous geometries, J. von Neumann found that any complemented modular lattic...
A theorem of Utumi states that if R is a right self-injective ring such that every maximal ideal has...
Abstract. The purpose of this note is to improve several known results on GQ-injective rings. We inv...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
summary:The following results are proved for a ring $A$: (1) If $A$ is a fully right idempotent ring...
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...
AbstractSemiartinian right V-rings, which we call right SV-rings, form a special class of Von Neuman...
All rings R considered are commutative and have an identity element. Contessa called R a VNL-ring if...