Results 21 to 30 of about 227 (121)
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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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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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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Integral closures, primary hyperideals and hypervaluation hyperideals of Kranser hyperrings
Journal of Algebra and Its Applications, 2022 In this paper, the notions of integral closure of hyperrings and hyperideals in a Krasner hyperring [Formula: see text] are defined and some basics properties of them are studied. We define also the notion of hypervaluation hyperideals and then a relations between hypervaluations, integral closure of hyperideals and primary hyperideals are studied. In
M. J. Nikmehr, R. Nikandish, A. Yassine
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Normal Self-injective Hyperrings [PDF]
, 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.
Abood, Mayssam Fadel +4 more
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[Retracted] Approximations of Intuitionistic Fuzzy Ideals over Dual Spaces by Soft Binary Relations
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The major advantage of this proposed work is to investigate roughness of intuitionistic fuzzy subsemigroups (RIFSs) by using soft relations. In this way, two sets of intuitionistic fuzzy (IF) soft subsemigroups, named lower approximation and upper approximation regarding aftersets and foresets, have been introduced.
Muhammad Zishan Anwar +4 more
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A note on weakly prime hyperideals and (1, n) hyperideals on multiplicative hyperrings
Thermal Science, 2022 In this article we give the definition of weakly prime hyperideals over multiplicative hyperring. We provide important results showing the relations between prime hyperideals and weakly prime hyperideals. Then we give definition of weakly n-hyperideal and weakly (1,n) hyperideal over multiplicative hyperrings.
Özel Ay, Elif, Yeşilot, Gürsel
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