Results 11 to 20 of about 306 (150)
Generalized Centroid of Hyperrings [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.
Yazarli Hasret +2 more
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Some Generalized Forms of Fuzzy Interval Valued Hyperideals in a Hyperring [PDF]
Journal of Applied Mathematics, 2014 Some generalized forms of the hyperideals of a hyperring in the paper of Zhan et al. (2008) will be given. As a generalization of the interval valued (α,β)-fuzzy hyperideals of a hyperring with α,β∈{∈,q,∈∧q,∈∨q} and α≠∈∧q, the notion of generalized ...
Hongjie Li, Zeyuan Li, Yunqiang Yin
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Multiplicative hyperring of fractions and coprime hyperideals
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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Regular Parameter Elements and Regular Local Hyperrings
Mathematics, 2021 Inspired by the concept of regular local rings in classical algebra, in this article we initiate the study of the regular parameter elements in a commutative local Noetherian hyperring.
Hashem Bordbar, Irina Cristea
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A class of hyperrings and hyperfields
International Journal of Mathematics and Mathematical Sciences, 1983 Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
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Normal Self-injective Hyperrings [PDF]
مجلة بغداد للعلوم, 2022 In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied.
Mayssam Fadel Abood +1 more
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HYPER PATHS AND HYPER CYCLES [PDF]
International Journal of Pure and Apllied Mathematics, 2015 In graphs, paths are walks with no repeated vertex. A fortiori, paths cannot have any repeated edge. But in hypergraphs, hyperedges can re- peat in vertex-to-vertex walks without causing repetition of any vertex. This is the crux of the idea of generalizing paths and cycles (from graphs to hyper- graphs) presented in this short article.
R. Dharmarajan, K. Kannan
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Map‐Pointed Fuzzy Hyperoperations
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati +4 more
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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
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Fuzzy Information and Engineering, 2022 In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation [Formula: see text]([Formula: see text]). Moreover, we proved that for a fuzzy hyperring S, the quotient [
E. Mohammadzadeh +3 more
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