Results 31 to 40 of about 372,843 (75)
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 +2 more
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Weakly $S$-prime hyperideals [PDF]
Journal of Mahani Mathematical ResearchThe purpose of this paper is presenting a new expansion class, namely weakly $n$-ary $S$-prime hyperideals in Krasner $(m,n)$-hyperrings. In summary, we give an extension of $n$-ary $S$-prime hyperideals. Some results and examples are
Mahdi Anbarloei
doaj +1 more source
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
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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
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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 +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
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SOME EXPRESSIONS OF THE SMARANDACHE PRIME FUNCTION [PDF]
, 2000 The main purpose of this paper is using elementary arithmetical functions to give some expressions of the Smarandache Prime Function P(n)
Ruiz, Sebastian Martin
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Generalized Rough Γ‐Hyperideals in Γ‐Semihypergroups
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 Davvaz (2008) introduced the concept of set‐valued homomorphism and T‐rough sets in a group. In this paper, we consider the set‐valued homomorphism T on Γ‐semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m, n) bi‐Γ‐hyperideals and (m, n) quasi‐Γ‐hyperideals in terms of set‐valued homomorphisms, which are ...
Naveed Yaqoob +2 more
wiley +1 more source
Rough Fuzzy Hyperideals in Ternary Semihypergroups
Advances in Fuzzy Systems, Volume 2012, Issue 1, 2012., 2012 The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups.
Naveed Yaqoob +3 more
wiley +1 more source
On Pure Hyperradical in Semihypergroups
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 This paper deals with a class of algebraic hyperstructures called semihypergroups, which are a generalization of semigroups. In this paper, we introduce pure hyperradical of a hyperideal in a semihypergroup with zero element. For this purpose, we define pure, semipure, and other related types of hyperideals and establish some of their basic properties ...
Kostaq Hila +2 more
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