Results 21 to 30 of about 84 (67)
r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 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 prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu +6 more
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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, Volume 2021, Issue 1, 2021., 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). In this study, the connections between I − Γ‐hyperideals and A − I − Γ‐hyperideals in ordered Γ‐semihypergroups were presented.
Yongsheng Rao +5 more
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Soft semihyperrings- an introduction [PDF]
Journal of Hyperstructures, 2012 The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
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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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Contribution to study special kinds of hyperideals in ordered semihyperrings
Journal of Taibah University for Science, 2017 In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
S. Omidi, B. Davvaz
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The L-ordered L-semihypergroups
Open Mathematics, 2020 This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
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Height of prime hyperideals in Krasner hyperrings
Filomat, 2017 Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion. In the second part of the article we illustrate some results concerning the height of prime hyperideals in ...
Cristea, Irina Elena, Bordbar, Hashem
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Superring of Polynomials over a Hyperring
Mathematics, 2019 A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri +2 more
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Alpha-prime hyperideals in a multiplicative hyperring
, 2021 The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
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On Prime Hyperideals of a Krasner Hyperring
Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on integrally closed Krasner hyperrings and (almost) integral dependence applications in krasner hyperrings.
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