Results 11 to 20 of about 143 (110)
$r$-Hyperideals and Generalizations of $r$-Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2021 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 +5 more
wiley +5 more sources
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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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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Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups [PDF]
Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar Abul
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HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS [PDF]
Journal of Algebraic Systems, 2019 An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$.
M. A. Madani, S. Mirvakili, B. Davvaz
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Characterizations of Hyperrings by Fuzzy Hyperideals with Respect to A t-norm
Fuzzy Information and Engineering, 2017 In this paper, we inquire further into the properties on some kind fuzzy hyperideals and we study the hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals,
Kostaq Hila, Krisanthi Naka
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On d-prime hyperideals of hyperrings [PDF]
Journal of HyperstructuresFor Krasner hyperrings, we study d-prime hyperideals where d is a homo-derivation. Furthermore, we show that every maximal d-hyperideal and d-prime hyperideal is a prime hyperideal of a commutative hyperring.
Maryam Akhoundi, Saber Omidi
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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
Asymptotic additivity of the Turaev–Viro invariants for a family of 3‐manifolds
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3043-3068, December 2022., 2022 Abstract In this paper, we show that the Turaev–Viro invariant volume conjecture posed by Chen and Yang is preserved under gluings of toroidal boundary components for a family of 3‐manifolds. In particular, we show that the asymptotics of the Turaev–Viro invariants are additive under certain gluings of elementary pieces arising from a construction of ...
Sanjay Kumar, Joseph M. Melby
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