Results 21 to 30 of about 10,538 (289)

Duo modules [PDF]

open access: yes, 2006
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]

open access: yesMathematica Bohemica, 2019
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]

open access: yesJournal of Algebraic Systems
‎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

open access: yesWalailak Journal of Science and Technology, 2021
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

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
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]

open access: yes, 2008
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

open access: yesAcademic Science Journal, 2023
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]

open access: yesKirkuk Journal of Science, 2008
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]

open access: yes, 2021
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

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
        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

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