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2-Prime Hyperideals of Multiplicative Hyperrings
Journal of Mathematics, 2022 Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring.
Mahdi Anbarloei
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DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]
Journal of Algebraic Systems, 2014 There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
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On Hyperideals of Multiplicative Hyperrings
Cumhuriyet Science Journal, 2022 Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring.
Ummahan Merdinaz Acar, Betül Coşgun
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Multiplicative hyperring of fractions and coprime hyperideals [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
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Primal hyperideals of multiplicative hyperring [PDF]
Journal of Algebraic Hyperstructures and Logical Algebras, 2021 Summary: In this paper, we introduce the concepts of adjoint, \(\mathrm{n}\)-adjoint of a hyperideals and primal and \(\mathrm{n}\)-primly hyperideals of a commutative multiplicative hyperrings. Many results con-cerning prime, \(\mathrm{n}\)-primly, primary and primal hyperideals of a commutative multiplicative hy-perrings are given, illustrated by ...
Al-Ashker, Mohammed M. +2 more
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J-hyperideals and related generalizations in multiplicative hyperrings [PDF]
Journal of Mahani Mathematical ResearchIn this paper, we define the concept of $J$-hyperideals which is a generalization of $n$-hyperideals. A proper hyperideal $I$ of a multiplicative hyperring $R$ is said to be a $J$-hyperideal if $x,y\in R$ such that $x \circ y \subseteq I$, then ...
Mahdi Anbarloei, Ali Behtoei
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On 2-absorbing Primal Hyperideals Of Multiplicative Hyperrings [PDF]
, 2020 Let R be a commutative multiplicative hyperring. In this paper, we introduce the concept of 2-absorbing primal hyperideals. A non zero hyperideal I of a multiplicative hyperring R is called a 2-absorbing primal hyperideal of R if the set of all elements ...
AL-Ashker, Mohammed M. +2 more
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$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings
, 2023 In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Akray, Ismael, Mina, Ali A.
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Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023 In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
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Regular equivalence and strongly regular equivalence on multiplicative ternary hyperring [PDF]
Journal of Hyperstructures, 2015 We introduce the notion of a multiplicative ternary hyperring, consider regular equivalences and strongly regular equivalences of a multiplicative ternary hyperring and investigate their properties.
Md Salim Masud Molla +2 more
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