Results 11 to 20 of about 110 (84)
δ-Primary Hyperideals on Commutative Hyperrings
International Journal of Mathematics and Mathematical Sciences, 2017 The purpose of this paper is to define the hyperideal expansion. Hyperideal expansion is associated with prime hyperideals and primary hyperideals. Then, we define some of their properties.
Elif Ozel Ay +2 more
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Generalizations of Prime Hyperideals via Hypersystems in Krasner Hyperrings
AxiomsThe aim of this study is to investigate generalized prime hyperideals in the framework of Krasner hyperrings. To this end, new classes of hyperideals are introduced and analyzed based on multiplicatively closed properties.
Mehmet Bozdaş, Ummahan Acar
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A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings [PDF]
Thermal Science, 2022 In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings.
Özel Ay, Elif, Yeşilot, Gürsel
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Rough prime bi-Γ-hyperideals and fuzzy prime bi- Γ-hyperideals of Γ-semihypergroups
Filomat, 2017 Davvaz (2008) introduced the concept of set‐valued homomorphism and T‐rough sets in a group. In this paper, we consider the set‐valued homomorphism T on Γ‐semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m, n) bi‐Γ‐hyperideals and (m, n) quasi‐Γ‐hyperideals in terms of set‐valued homomorphisms, which are ...
Naveed Yaqoob +3 more
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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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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 +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 relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds
Journal of Topology, Volume 16, Issue 2, Page 650-678, June 2023., 2023 Abstract We define a relative version of the Turaev–Viro invariants for an ideally triangulated compact 3‐manifold with nonempty boundary and a coloring on the edges, generalizing the Turaev–Viro invariants [36] of the manifold. We also propose the volume conjecture for these invariants whose asymptotic behavior is related to the volume of the manifold
Tian Yang
wiley +1 more source
A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this study, we introduce a new concept called “anti‐involution” in relation to ordered LA‐semihypergroups. An anti‐involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti‐involution hyperideals.
Nabilah Abughazalah +2 more
wiley +1 more source
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 +2 more
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