Results 1 to 10 of about 22 (22)

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
doaj   +1 more source

On certain Γ-hyperideals in Γ-semihypergroups [PDF]

Journal of Hyperstructures, 2020
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir, Kishor Fakira Pawar   +1 more
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Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring [PDF]

Journal of Mahani Mathematical Research, 2023
‎Krasner $F^{(m,n)}$-hyperrings were introduced and  investigated by Farshi and Davvaz. In this paper, our purpose is to  define and characterize  three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F ...
Mahdi Anbarloei
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A GENERALIZATION OF PRIME HYPERIDEALS [PDF]

Journal of Algebraic Systems, 2020
‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎ ‎of prime hyperideal‎.
M. Anbarloei
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Spectrum of Zariski Topology in Multiplication Krasner Hypermodules

Mathematics, 2023
In this paper, we define the concept of pseudo-prime subhypermodules of hypermodules as a generalization of the prime hyperideal of commutative hyperrings.
Ergül Türkmen, Burcu Nişancı Türkmen, Öznur Kulak   +2 more
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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
doaj   +1 more source

On 1-Absorbing Prime Hyperideal and Some of Its Generalizations

Journal of Mathematics, 2022
In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
doaj   +1 more source

Soft semihyperrings- an introduction [PDF]

Journal of Hyperstructures, 2012
The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
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n−ABSORBING I−PRIME HYPERIDEALS IN MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems
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 $b \in P$.
Ali Abdullah Mena, Ismael Akray
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Completely Prime Hyperideals of Ternary Semihypergroups

Discussiones Mathematicae - General Algebra and Applications, 2020
In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y., Mani P. Seetha, Gulistan M., Lalitha G. Jaya   +3 more
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