Results 1 to 10 of about 1,089 (143)
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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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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The Reducibility Concept in General Hyperrings
Mathematics, 2021 By using three equivalence relations, we characterize the behaviour of the elements in a hypercompositional structure. With respect to a hyperoperation, some elements play specific roles: their hypercomposition with all the elements of the carrier set ...
Irina Cristea, Milica Kankaraš
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Some Results on the Divisible Hyperrings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood +1 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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Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals. [PDF]
ScientificWorldJournal, 2015 We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism.
Selvachandran G, Salleh AR.
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Normal Self-injective Hyperrings
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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Generalized Centroid of Hyperrings
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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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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On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]
Neutrosophic Sets and Systems, 2014 A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
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