Results 31 to 40 of about 466,881 (179)
Intuitionistic L-fuzzy classical prime and intuitionistic L-fuzzy 2-absorbing submodules [PDF]
Notes on IFS, 2023 Let L be a complete lattice. We introduce and characterise intuitionistic L-fuzzy classical prime submodule and intuitionistic L-fuzzy 2-absorbing submodules of a unitary module M over a commutative ring R with identity.
P. K. Sharma
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GRADED I-PRIME SUBMODULES [PDF]
Journal of Algebraic Systems, 2023 Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$.
I. Akray +3 more
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Graded Classical Weakly Prime Submodules Over Non-Commutative Graded Rings [PDF]
Tatra Mountains Mathematical Publications, 2023 The goal of this article is to propose and examine the notion of graded classical weakly prime submodules over non-commutative graded rings which is a generalization of the concept of graded classical weakly prime submodules over commutative graded rings.
Jebrel M. Habeb, R. Abu-Dawwas
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Approximaitly Semi-Prime Submodules and Some Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 We introduce in this paper the concept of approximaitly semi-prime submodules of unitary left -module over a commutative ring with identity as a generalization of a prime submodules and semi-prime submodules, also generalization of quasi-prime ...
Ali Sh. Ajeel, Haibat K. Mohammad ali
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Generalizations of prime submodules over non-commutative rings [PDF]
Journal of Hyperstructures, 2023 Throughout this paper, R is an associative ring (not necessarily commutative) with identity and M is a right R-module with unitary. In this paper, we introduce a new concept of ∅-prime submodule over an associative ring with identity.
Emel Aslankarayigit Ugurlu
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Glasgow Mathematical Journal, 2009 AbstractLet R be a commutative ring with non-zero identity and M be a unitary R-module. Let (M) be the set of all submodules of M, and φ: (M) → (M) ∪ {∅} be a function. We say that a proper submodule P of M is a prime submodule relative to φ or φ-prime submodule if a ∈ R and x ∈ M, with ax ∈ P ∖ φ(P) implies that a ∈(P :RM) or x ∈ P. So if we take φ(N)
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Iraqi Journal of Science, 2022 Let R be a commutative ring with unity. And let E be a unitary R-module. This paper introduces the notion of 2-prime submodules as a generalized concept of 2-prime ideal, where proper submodule H of module F over a ring R is said to be 2-prime if ,
Fatima Dhiyaa Jasem, Alaa A. Elewi
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WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES [PDF]
Glasgow Mathematical Journal, 2006 A proper submodule N of an R-module M is called a weakly prime submodule, if for each submodule K of M and elements a, b of R, abK ⊆ N, implies that aK ⊆ N or bK ⊆ N. In this paper we will study weakly prime submodules and we shall compare weakly prime submodules with prime submodules.
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On Quasi-Small Prime Submodules
Iraqi Journal of Science, 2022 Let be a commutative ring with identity , and be a unitary (left) R-module. A proper submodule of is said to be quasi- small prime submodule , if whenever with and , then either or .
W. A. Ali, N. S. A. Mothafar
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Approximaitly Prime Submodules and Some Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity.
Ali Sh. Ajeel, Haibat K. Mohammad Ali
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