We define a right ideal I of an associative ring R to be eversible if xRy⊆ I for x, y∈ R, then
there exists 1= z∈ R such that zRx⊆ I and conversely. In case 0 is an eversible ideal, then …

In this paper, we study the strong regularity of left SF rings and obtain the following results:
Let R be a left SF ring. If R satisfies one of the following conditions, then R is a strongly …

In this paper, we study rings whose simple right R-module are GP-injective. We prove that
ring whose simple right R-module is GP-injective it will be right-weakly regular ring. Also …

ABSTRACT A ring R is called a right SF-ring if all its simple right R-modules are flat. It is well
known that Von Neumann regular rings are right and left SF-rings. In this paper we study …

All algebras in this paper are associative with unit, and all modules are unital. An algebra A
is called regular, if for each a∈ A, there exists b∈ A such that a= aba. An algebra A is …

الملخص On Simple Singular N-Flat Modules Page 1 On Simple Singular N-Flat Modules Raida
DM Al-azawi and Dena AB Hadid Department of Mathematic, College of Computer Sciences …

The 2-central reduced ring, a generalization of central reduced rings, has been introduced,
and checked about its relation and properties. Additionally, we have investigated von …

لیکن I مثالی أیمن فی الحلقة R، فإن R/I یکون مقاساً مسطحاً من النمط-N أیمن إذا وفقط إذا لکل, یوجد
وعدد صحیح موجب n بحیث إن و. فی هذا البحث, أولاً نقدم ونمیز الحلقات التی فیها کل مقاس منفرد …‎

Let I be a right ideal of a ring R, then R/I is right N-flat module if and only if for each, there
exists and a positive integer n such that and. In this paper, we first introduce and …

In this paper, we study rings whose simple right R-module are GP-injective. We prove that
ring whose simple right R-module is GP-injective it will be right-weakly regular ring. Also …