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On \(L\)-fuzzy prime submodules

2005
Summary: In this paper the concept of an \(L\)-fuzzy prime submodule of \(M\) is given, and some fundamental lemmas are proved. Also, a characterization of an \(L\)-fuzzy prime submodule is given. Finally, we show that an \(L\)-fuzzy prime submodule is inherited by an \(R\)-module epimorphism.
openaire   +2 more sources

Some remarks on S-strongly prime submodules

São Paulo Journal of Mathematical Sciences
F. Farzalipour
semanticscholar   +1 more source

On almost prime submodules

Acta Mathematica Scientia, 2012
Hani A Khashan
exaly  

COMPLETELY PRIME SUBMODULES

2013
We generalize completely prime ideals in rings to submodules in modules. The notion of multiplicative systems of rings is generalized to modules. Let N be a submodule of a left R-module M. Define co.√N := {m ∈ M : every multiplicative system containing m meets N}. It is shown that co.√N is equal to the intersection of all completely prime submodules of
GROENEWALD, Nico J., SSEVVİİRİ, David
openaire   +1 more source

Graded Prime Submodules over Non-Commutative Rings

Vietnam Journal of Mathematics, 2018
Rashid Abu-Dawwas, Malik Bataineh
exaly  

PRIME SUBMODULES OF ARTINIAN MODULES

Taiwanese Journal of Mathematics, 2009
A Azizi
exaly  

INTERSECTION OF PRIME SUBMODULES AND DIMENSION OF MODULES

Acta Mathematica Scientia, 2005
A Azizi
exaly  

Prime Submodules and Local Gabriel Correspondence in σ[M]

Communications in Algebra, 2012
Jaime Castro Perez
exaly  

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