Results 31 to 40 of about 584 (193)
On graded $ s $-prime submodules
AIMS Mathematics, 2020 <abstract> <p>In this article, we introduce the concepts of graded $ s $-prime submodules which is a generalization of graded prime submodules. We study the behavior of this notion with respect to graded homomorphisms, localization of graded modules, direct product, and idealization. We succeeded to prove the existence of graded $ s $-prime
Hicham Saber +2 more
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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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Weakly Approximately primary submodules and Related Concepts
Tikrit Journal of Pure Science, 2021 Let R be a commutative ring with identity, and be a unital left R-module. In this paper the concept of weakly approximately primary submodule are introduced as a new generalization of a weakly primary submodule, also it is a generalization of weakly ...
Khaled Y. Jhad, Bothaynah N. Shahab
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On Beta-Prime Submodules [PDF]
Journal of the Indonesian Mathematical Society, 2019 We introduce the concepts of $\beta$-prime submodules and weakly $\beta$-prime submodules of unital left modules over a commutative ring with nonzero identity. Some properties of these concepts are investigated. We use the notion of the product of two submodules to characterize $\beta$-prime submodules of a multiplication module.
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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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Prime submodul of an integer over itself
, 2022 One of the sciences used in digital security systems is cryptography. Cryptography is closely related to the integer system, especially prime numbers. Prime numbers themselves have been abstracted a lot.
Wardhana, I Gede Adhitya Wisnu +11 more
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, 2021 Let $R$ be a graded commutative ring with non-zero unity $1$ and $M$ be a graded unitary $R$-module. Let $GS(M)$ be the set of all graded $R$-submodules of $M$ and $ϕ: GS(M)\rightarrow GS(M)\bigcup\{\emptyset\}$ be a function. A proper graded $R$-submodule $K$ of $M$ is said to be a graded $ϕ-$prime $R$-submodule of $M$ if whenever $r$ is a homogeneous
Alshehry, Azzh Saad +2 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever is a Prime Ideal For proper submodule N of B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
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A Characterization of Prime Submodules
Journal of Algebra, 1999 Let \(R\) be a commutative ring (with non-zero identity) and let \(M\) be an \(R\)-module. A submodule \(N\) of \(M\) is called prime if \(N\neq M\) and for each \(a\in R\), \(m\in M\), then \(am\in N\) implies \(m\in N\) or \(aM\subseteq N\). Hence if \(N\) is a prime submodule of \(M\), then the annihilator \(\mathfrak p\) of \(M/N\) is a prime ideal
Tiras, Y, Harmanci, A, Smith, PF
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On intuitionistic fuzzy almost prime ideals and intuitionistic fuzzy almost prime submodules [PDF]
Notes on IFS, 2023 The aim of this paper is to present some characterizations of almost prime ideals and almost prime submodules in the intuitionistic fuzzy environment. We investigate various properties of these concepts and achieve many results.
P. K. Sharma
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