Results 31 to 40 of about 754 (158)

A relative version of the Turaev–Viro invariants and the volume of hyperbolic polyhedral 3‐manifolds

open access: yesJournal 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
wiley   +1 more source

A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups

open access: yesJournal 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

Uni-Soft Quasi-Hyperideals Of Ordered Semihypergroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The main purpose of this article is to study ordered semihypergroups in the context of uni-soft quasi-hyperideals. In this article, using the notion of soft-union sets in ordered semihypergroups, we introduce the concept of union-soft (uni-soft) quasi ...
Farooq Muhammad   +3 more
doaj   +1 more source

Asymptotic additivity of the Turaev–Viro invariants for a family of 3‐manifolds

open access: yesJournal 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
wiley   +1 more source

ϕ ‐δ‐Primary Hyperideals in Krasner Hyperrings

open access: yesMathematical 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
wiley   +1 more source

Some Properties of Weak Γ‐Hyperfilters in OrderedΓ‐Semihypergroups

open access: yesMathematical 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
wiley   +1 more source

Characterizations of Hyperideals and Interior Hyperideals in Ordered Γ‐Semihypergroups

open access: yesMathematical 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
wiley   +1 more source

Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj   +1 more source

Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings

open access: yesJournal 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
wiley   +1 more source

Hyper-ideal Sociality

open access: yesJournal 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
doaj   +1 more source

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