Results 51 to 60 of about 294 (94)
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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r -Hyperideals and Generalizations of r -Hyperideals in Krasner Hyperrings [PDF]
, 2022 This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r-hyperideals in commutative Krasner hyperrings. Some properties of pr-hyperideals are also studied. The relation between
Kaya, Elif +5 more
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Single-Valued Neutrosophic Hyperrings and Single-Valued Neutrosophic Hyperideals [PDF]
Neutrosophic Sets and Systems, 2019 In this paper, we introduced the concepts of Single-valued neutrosophic hyperring and Single-valued neutrosophic hyperideal. The algebraic properties and structural characteristics of the single-val-ued neutrosophic hyperrings and hyperideals are ...
D. Preethi +4 more
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On (fuzzy) isomorphism theorems of Γ-hyperrings [PDF]
, 2010 In this paper, we first derive three isomorphism theorems and a Jordan–Holder theorem of Γ-hyperrings.
Zhan, Jianming +5 more
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, 2022 The concept of convex ordered hyperrings associated with a strongly regular relation was investigated in this study. In this paper, we first studied hyperatom elements of ordered hyperrings and then investigated characterizations of quotient ordered ...
Mehdi Gheisari +2 more
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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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On Weakly S‐Primary Hyperideals in a Krasner (m, n)‐Hyperring
Journal of Mathematics, Volume 2026, Issue 1, 2026.Over the years, numerous extensions of the concept of prime hyperideals in a hyperring have been presented by utilizing different algebraic structures associated with the hyperring. Among these, weakly primary hyperideals and S‐primary hyperideals have been studied recently.
Mahdi Anbarloei, Pramita Mishra
wiley +1 more source
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
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Vougiouklis Contributions in the Field of Algebraic Hyperstructures
Ratio Mathematica, 2017 Thomas Vougiouklis was born in 1948, Greece. He has many contributions to algebraic hyperstructures. $H_v$-structures are some of his main contributions.
Bijan Davvaz
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On quotient clean hyperring [PDF]
Journal of Hyperstructures, 2015 In this paper, we introduce the notion of quotient Krasner hyperrings and prove that if I is a normal ideal of Krasner hyperring (R, +, ·), then quotient clean Krasner hyperring considered in [1] by Talebi et. al are just clean rings.
S. Ostadhadi-Dehkord
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