Results 31 to 40 of about 110 (84)

On Prime Hyperideals of a Krasner Hyperring

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on integrally closed Krasner hyperrings and (almost) integral dependence applications in krasner hyperrings.
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Alpha-prime hyperideals in a multiplicative hyperring

, 2021
The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
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On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices

European Journal of Pure and Applied Mathematics, 2018
In this paper, we introduce the notions of strong ” ∧ ”-hyperlattices, hyperideals and hyperfilters in strong ”∧”-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in ”∧”-hyperlattices,IA-hyperideals and prime hyperfilters in strong
Mohsen Amiri Bideshki, Reza Ameri, Arsham Broomand Saeid   +2 more
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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, Mansour Eyvazi, Sarka Hoskova-Mayerova   +2 more
doaj   +1 more source

Rough Hyperfilters in Po‐LA‐Semihypergroups

Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019
This paper concerns the study of hyperfilters of ordered LA‐semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA‐semihypergroup. We define the concept of rough hyperfilters and provide useful examples on it.
Ferdaous Bouaziz, Naveed Yaqoob, Xiaohua Ding   +2 more
wiley   +1 more source

J-prime hyperideals and their generalizations

, 2021
Let R be a multiplicative hyperring with identity. In this paper, we define the concept of J-prime hyperideals which is a generalization of n-hyperideals and we will show some properties of them. Then we extend the notion of J-prime to quasi J-prime and 2-absorbing J-prime hyperideals. Various characterizations of them are provided.
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Some Properties of Multiplicative Hv‐Rings of Polynomials over Multiplicative Hyperrings

Algebra, Volume 2014, Issue 1, 2014., 2014
The set of all polynomials R[x], over a multiplicative hyperring (R, + , ·), form a commutative group with respect to the component‐wise addition (+) of the polynomials. For polynomials f, g in R[x], f*g is a set of polynomials whose (k + 1)th components k∈N∪0 are chosen from the set ∑i+j=kai · bj, where ai and bj are the (i + 1)th and the (j + 1)th ...
Utpal Dasgupta, Andrei V. Kelarev
wiley   +1 more source

Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
wiley   +1 more source

Associate, Hyperdomainlike, and Presimplifiable Hyperrings

Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014
Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings. Some elementary properties of these new hyperrings and their relationships are presented.
Agboola Adesina Abdul Akeem, Davvaz Bijan, Feng Feng   +2 more
wiley   +1 more source

Hyperideal theory in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
doaj   +1 more source