Results 31 to 40 of about 4,079 (208)
On Centralizers of 2-torsion Free Semiprime Gamma Rings
In this paper, we prove that; Let M be a 2-torsion free semiprime which satisfies the condition for all and α, β . Consider that as an additive mapping such that holds for all and α , then T is a left and right centralizer.
Abdulkareem T. Mutlak+1 more
semanticscholar +1 more source
Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules.
H. Ramadhan, N. S. A. Mothafar
semanticscholar +1 more source
AbstractSome properties of v-semiprime (v = 0, 1, 2) near-rings are pointed out. In particular v semiprime near-rings which contain nil non-nilpotent ideals are studied.
S. De Stefano, S. Di Sieno
openaire +3 more sources
The Source of Semiprimeness of Semigroups [PDF]
In this study, we define new semigroup structures using the set S S =
Barış Albayrak+2 more
openaire +3 more sources
On weakly semiprime segments of ordered semihypergroups
In this paper, we introduce the concept of weakly semiprime segments in an ordered semihypergroup and classify weakly semiprime segments of an ordered semihypergroup into four cases which are simple, exceptional, Archimedean and decomposable.
Ze Gu
doaj +1 more source
On Rings Whose Simple Singular R-Modules Are Flat, I [PDF]
In this paper we investigate von Neumann regularity of rings whose simple singular right R-modules are flat. It is proved that a ring R is strongly regular if and only if R is a semiprime right quasi-duo ring whose simple singular right R-modules are ...
Raida Mahmood, Abdullah Abdul-Jabbar
doaj +1 more source
Almost Approximaitly Nearly Semiprime Submodules
Our goal in this research is to study the concept of almost approximaitly nearly semiprime submodules in class of multiplication modules. Moreover, we study the relationship between almost approximaitly nearly semiprime submodules and their residuals ...
Ali Sh. Ajeel, Haibat K. Mohammadali
doaj +1 more source
On S-Prime and S-Semiprime RΓ-Submodules of RΓ-Module
Let R be a Γ-ring and G be a RΓ-module. Aproper RΓ-submodule E of G is said to be S-prime (S-semiprime) RΓ-submodule of G whenever μ(K) ⊆ E ( μ(m) γ μ(m) E ), for some K be a RΓ-submodule of G, where End (G), y Γ and m G, then K ⊆ E or M(G)⊆ E ( μ(m) E).
Ali Abd Alhussein Zyarah, N. Al-Mothafar
semanticscholar +1 more source
Generalized Munn rings exist extensively in the theory of rings. The aim of this note is to answer when a generalized Munn ring is primitive (semiprimitive, semiprime and prime, respectively).
Guo Junying, Guo Xiaojiang
doaj +1 more source
A Characterization of Semiprime Rings with Homoderivations
This paper is focused on the commutativity of the laws of semiprime rings, which satisfy some algebraic identities involving homoderivations on ideals. It provides new and notable results that will interest researchers in this field, such as “R contains ...
Emine Koç Sögütcü
doaj +1 more source