Results 111 to 120 of about 466,881 (179)

W-Closed Submodule and Related Concepts

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018
    Let R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w ...
Haibat K. Mohammad Ali, Mohammad E. Dahsh   +1 more
doaj   +1 more source

Closed submodules of centred bimodules over prime rings, and applications

, 1995
Tlus paper is a survey on results of several papers by the author. In the first two sections we smmnarize the main results on closed submodules of centred bimodules over prime rings. In the rest of the paper we mention several applicatios of the results,
Ferrero, Miguel Angel Alberto
core   +2 more sources

Characterizations of 0-submodules

, 2018
In this paper we give an introduction to prime submodules in order to generalize the concept of prime ideal to the category of modules. First of all, we study prime submodules of ideal 0 in the case where the ring is an integral domain.
Rodríguez Mielgo, César, Wirnitzer, Félix Marcelo   +1 more
core   +1 more source

phi-Classical Prime Submodules

, 2019
In this paper, all rings are commutative with nonzero identity. Let M be an R-module. A proper submodule N of M is called a classical prime submodule, if for each m is an element of M and elements a, b is an element of R, abm is an element of N implies ...

core  

On Weakly Prime Submodules

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever  r  R,  x  M, 0  r x  N implies  x  N  or  r  (N:M).
I. M.A. Hadi
doaj  

Fuzzy Almost Nearly Prime and Fuzzy Almost Nearly 2 Absorbing Submodules

Al-Nahrain Journal of Science
We present in this work the concepts of fuzzy Almost Nearly prime submodules and fuzzyAlmostNearly2Absorbiingsubmodules as popularizations of fuzzy Nearly prime submodules and fuzzy 2-Absorbingsubmodules.
Khudhayer O. Kadem
semanticscholar   +1 more source

On graded Jgr-2-absorbing primary submodule

Journal of Nigerian Society of Physical Sciences
This paper introduces the concept of graded Jgr-2-absorbing primary submodules, a new intermediate structure in graded module theory. Motivated by the need to extend and unify classical notions such as graded prime and graded primary submodules, the ...
Shatha Alghueiri, Khaldoun Al-Zoubi
doaj   +1 more source

On graded 2-classical prime submodules of graded modules over graded commutative rings

, 2019
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded 2-classical prime submodules.
Al-Zoubi, Khaldoun Falah, Al-Turman, Farah   +1 more
core   +1 more source

Square-difference factor absorbing submodules of modules over commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let R be a commutative ring with identity and M an unitary R-module. Recently, in [5], Anderson, Badawi and Coykendalla defined a proper ideal I of R to be a square-difference factor absorbing ideal (sdf-absorbing ideal) of R if whenever a2 − b2 ∈ I for ...
Khashan Hani A., Celikel Ece Yetkin
doaj   +1 more source

Strongly Prime Submodules

Communications in Algebra, 2009
Let $R$ be a commutative ring with identity. For an $R$-module $M$, the notion of strongly prime submodule of $M$ is defined. It is shown that this notion of prime submodule inherits most of the essential properties of the usual notion of prime ideal. In particular, the Generalized Principal Ideal Theorem is extended to modules.
openaire   +2 more sources