Results 1 to 10 of about 89 (69)
On primary hyperideals of ternary hypersemiring [PDF]
Journal of Hyperstructures, 2021 In this article, we introduce the notions of radical of hyperideals and primary hyperideals of a ternary hypersemiring.We obtain some important properties of radical of hyperideals and primary hyperideals on a particular class of hyperideals, called ...
Nita Tamang, Manasi Mandal, Sampad Das
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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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Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring [PDF]
Journal of Hyperstructures, 2023 The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introducethe notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a Γ-semihyperring as a ...
Chaitanya B. Kumbharde +2 more
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On Hybrid Pure Hyperideals in Ordered Hypersemigroups
International Journal of Analysis and Applications, 2023 In this paper, the concepts of hybrid pure hyperideals in ordered hypersemigroups are introduced and some algebraic properties of hybrid pure hyperideals are studied.
Hataikhan Sanpan +2 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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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
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Hyperideals of (Finite) General Hyperrings [PDF]
Mathematics Interdisciplinary Research, 2021 A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring.
Reza Ameri +2 more
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δ-r-hyperideals and φ-δ-r-hyperideals of commutative Krasner hyperrings [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 This paper deals with an important class of multialgebras, called Krasner hyperrings. Our purpose is to define the expansion of r-hyperideals and to extend this concept to Ï-δ-r-hyperideal in commutative Krasner hyperrings with nonzero identity.
Peng Xu +5 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
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A Study on A−I−Γ-Hyperideals and m,n−Γ-Hyperfilters in Ordered Γ-Semihypergroups
Discrete Dynamics in Nature and Society, 2021 The concept of almost interior Γ-hyperideals (A−I−Γ-hyperideals) in ordered Γ-semihypergroups is a generalization of the concept of interior Γ-hyperideals (I−Γ-hyperideals).
Yongsheng Rao +4 more
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