Results 41 to 50 of about 14,201 (197)

Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE

open access: yes, 2022
In ring theory, if  and  be ideals of , then the multiplication of  and , which is defined by  is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every
W.M. Patty, Henry   +3 more
core   +1 more source

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 sM-Prime Ideals in Commutative Rings

open access: yesAxioms
All rings considered are commutative with identity, and all modules are assumed to be unital. In this paper, we study R-modules in which every quasi-primary submodule is also primary; we refer to such modules as satisfying condition (*).
Gülşen Ulucak   +3 more
doaj   +1 more source

On \b{L}-fuzzy multiplication modules

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
Summary: Let \(L\) be a complete lattice. In a manner analogous to a commutative ring, we introduce and investigate the \(L\)-fuzzy multiplication modules over a commutative ring with non-zero identity. The basic properties of the prime \(L\)-fuzzy submodules of \(L\)-fuzzy multiplication modules are characterized.
Atani Shahabaddin Ebrahimi   +1 more
openaire   +2 more sources

Multiplication modules and related results [PDF]

open access: yes, 2004
summary:Let $R$ be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication $R$-module (see [8], [12] and [3])
Ebrahimi Atani, Shahabaddin
core  

Strongly Pseudo Nearly Semei-2-Absorbing Submodules (II)

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
Let  be a module over a commutative ring  with identity. Before studying the concept of the Strongly Pseudo Nearly Semi-2-Absorbing submodule, we need to mention the ideal  and the basics that you need to study the  concept of the Strongly Pseudo Nearly
Mohmad Essa Dahash Al Dury   +1 more
doaj   +1 more source

SUBMODULES OF MULTIPLICATION MODULES

open access: yesTaiwanese Journal of Mathematics, 2005
Let \(R\) be a commutative ring with identity and \(M\) an (unitary) \(R\)-module. We say that \(M\) is multiplication module if for each submodule \(N\) of \(M,N = IM\) for some ideal \(I\) of \(R\). In this paper, the author studies the set \(S(M)\) of finitely generated faithful multiplication submodules of a finitely generated faithful ...
openaire   +2 more sources

Some Properties of Multiplication Modules [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2017
Let M be an R-module. The module M is called multiplication if for anysubmodule N of M we have N = IM, where I is an ideal of R. In this paperwe state some basic properties of multiplication modules.
Tavallaee, Hamid A., Mahtabi, Robabeh
openaire   +2 more sources

Weakly linear homomorphisms in skew boolean modules [PDF]

open access: yesJournal of Hyperstructures, 2015
In this paper we introduce the notion of linear, weakly linear and strongly linear homomorphisms between two Skew Boolean modules and obtain various properties. We also introduce a scalar multiplication on the set of all weakly linear homomorphisms (wHom(
Dawit Chernet, K. Venkateswarlu
doaj   +1 more source

FINITELY GENERATED GRADED MULTIPLICATION MODULES

open access: yes, 2011
Let R = ⊕i ∈ ℤRi be a ℤ-graded ring and M = ⊕i ∈ ℤMi be a graded R-module. Providing some results on graded multiplication modules, some equivalent conditions for which a finitely generated graded R-module to be graded multiplication will be given.
NASER ZAMANI
core   +1 more source

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