Results 21 to 30 of about 167 (122)
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
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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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ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ‐prime, ϕ‐primary and ϕ‐δ‐primary hyperideals are introduced. The concept of δ‐primary hyperideals is extended to ϕ‐δ‐primary hyperideals. Some characterizations of hyperideals are provided to classify them.
Hao Guan +6 more
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Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 The main purpose of this paper is to study fundamental properties of weak Γ‐hyperfilters on ordered Γ‐semihypergroups that is a generalization of Γ‐hyperfilters. Also, we investigate the relationship between weak Γ‐hyperfilters and prime Γ‐hyperideals in ordered Γ‐semihypergroups.
Yongsheng Rao +4 more
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Journal of Extreme Anthropology, 2021 Within the literature on ‘rushing rituals’ at institutions of higher education, there is a dominant focus on the creation of cohesion or communitas (Turner 1969) between students.
My Madsen
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Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 We give some conditions on ordered Γ‐semihypergroups under which their interior hyperideal is equal to the hyperideal. In this paper, it is shown that in regular (resp., intraregular, semisimple) ordered Γ‐semihypergroups, the hyperideals and the interior hyperideals coincide.
Yongsheng Rao +4 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The LA‐module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA‐rings). Because of peculiar characteristics of LA‐ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade.
Asima Razzaque +2 more
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On Characterizations of (ω, ε, ς)-Single Valued Neutrosophic Hyperrings and Hyperideals [PDF]
Neutrosophic Sets and Systems, 2022 This study included concepts for (ω, ε, ς)-single valued neutrosophic hyperring ((ω, ε, ς)-SV NHR) and (ω, ε, ς)-single valued neutrosophic hyperideal ((ω, ε, ς)-SV NHI).
Muhammad Shazib Hameed +3 more
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Regularity in terms of Hyperideals [PDF]
Chinese Journal of Mathematics, 2013 This paper deals with the algebraic hypersystems. The notion of regularity of different type of algebraic systems has been introduced and characterized by different authors such as Iseki, Kovacs, and Lajos. We generalize this notion to algebraic hypersystems giving a unified generalization of the characterizations of Kovacs, Iseki, and Lajos.
Kostaq Hila +3 more
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