Results 11 to 20 of about 227 (121)
r-Hyperideals and Generalizations of r-Hyperideals in Krasner Hyperrings [PDF]
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-
Xu, Peng +6 more
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On 1-Absorbing Prime Hyperideal and Some of Its Generalizations
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce the concept of 1-absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided.
M. Anbarloei
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(m,n)-Hyperideals in Ordered Semihypergroups [PDF]
Categories and General Algebraic Structures with Application, 2020 Summary: In this paper, first we introduce the notions of an \((m,n)\)-hyperideal and a generalized \((m,n)\)-hyperideal in an ordered semihypergroup, and then, some properties of these hyperideals are studied. Thereafter, we characterize \((m,n)\)-regularity, \((m,0)\)-regularity, and \((0,n)\)-regularity of an ordered semihypergroup in terms of its \(
Ahsan Mahboob, Noor Khan, Bijan Davvaz
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2021 arXiv admin note: substantial text overlap with arXiv:2109.08414; text overlap with arXiv:2109 ...
Mahdi Anbarloei, Xiaogang Liu
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Semihyperrings Characterized by Their Hyperideals
, 2010 The concept of hypergroup is generalization of group, first was introduced by Marty [9]. This theory had applications to several domains. Marty had applied them to groups, algebraic functions and rational functions. M. Krasner has studied the notion of hyperring in [11].
Shabir, M. +2 more
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On Hyperideals in Left Almost Semihypergroups [PDF]
ISRN Algebra, 2011 This paper deals with a class of algebraic hyperstructures called left almost semihypergroups (LA-semihypergroups), which are a generalization of LA-semigroups and semihypergroups. We introduce the notion of LA-semihypergroup, the related notions of hyperideal, bi-hyperideal, and some properties of them are investigated.
Kostaq Hila, Jani Dine
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δ-Primary Hyperideals on Commutative Hyperrings. [PDF]
Int. J. Math. Math. Sci., 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. Prime and primary hyperideals’ numerous results can be extended into expansions.
Elif Özel Ay +2 more
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On Rough Hyperideals in Hyperlattices [PDF]
Journal of Applied Mathematics, 2013 We introduce and study rough hyperideals in hyperlattices. First, we give some interesting examples of hyperlattices and introduce hyperideals of hyperlattices. Then, applying the notion of rough sets to hyperlattices, we introduce rough hyperideals in hyperlattices, which are extended notions of hyperideals of hyperlattices.
Pengfei He 0001 +2 more
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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
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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
wiley +1 more source