Results 21 to 30 of about 10,538 (289)
Let R be a ring. An R-module M is called a (weak) duo module provided every (direct summand) submodule of M is fully invariant. It is proved that if R is a commutative domain with field of fractions K then a torsion-free uniform R-module is a duo module ...
Harmancı, A. +7 more
core +1 more source
On minimal spectrum of multiplication lattice modules [PDF]
We study the minimal prime elements of multiplication lattice module $M$ over a $C$-lattice $L$. Moreover, we topologize the spectrum $\pi(M)$ of minimal prime elements of $M$ and study several properties of it.
Sachin Ballal, Vilas Kharat
doaj +1 more source
ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING [PDF]
The main purpose of this article is to present a new approach to the classification of all indecomposable absorbing prime multiplication modules with finite-dimensional top over pullback rings of two Dedekind domains.
Farkhondeh Farzalipour, Peyman Ghiasvand
doaj +1 more source
On Fully Closed Stable Modules
In this paper, we studied the notion of the fully closed stable module and identified some basic properties of this notion. We also investigated some concepts which are related to this module.
Shukur AL-AEASHI, Bijan DAVVAZ
doaj +3 more sources
Nearly Primary-2-Absorbing Submodules and other Related Concepts
Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule of an -module is called nearly primary-2-absorbing submodule if whenever , for ...
Ali Sh. Ajeel +2 more
doaj +1 more source
On endomorphisms of multiplication and comultiplication modules [PDF]
summary:Let $R$ be a ring with an identity (not necessarily commutative) and let $M$ be a left $R$-module. This paper deals with multiplication and comultiplication left $R$-modules $M$ having right $\operatorname{End}_R(M)$-module ...
Farshadifar, F., Ansari-Toroghy, H.
core +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 Finitely Annihilated Modules [PDF]
Let R be a commutative ring with identity and M be a unitary R-module. An R-module M is called finitely annihilated if there exists a finitely generated R-submodule N of M such that ann(M)=ann(N).Our main purpose in this work is to study this property in
Ali S. Mijbass +2 more
doaj +1 more source
Criteria for a direct sum of modules to be a multiplication module over noncommutative rings [PDF]
We study multiplication modules. The rings are not assumed to be commutative. Several criteria with some applications are given for a direct sum of modules to be a multiplication ...
Bavula, V.V., Alsuraiheed, T.
core +1 more source
Weakly Nearly Prime Submodules
In this article, unless otherwise established, all rings are commutative with identity and all modules are unitary left R-module. We offer this concept of WN-prime as new generalization of weakly prime submodules. Some basic properties of weakly
Ali Sabah Sadiaq, Haibat K. Mohammadali
doaj +1 more source

