Results 51 to 60 of about 768 (158)
Approximations of (∈, ∈∨qk)‐Fuzzy Hyperideals in Ordered LA‐Semihypergroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 This paper concerns the relationship between rough sets, (∈, ∈∨qk)‐fuzzy sets, and the LA‐semihypergroups. We proved that the lower approximation (l‐approx) and the upper approximation (u‐approx) of different hyperideals of LA‐semihypergroups become again hyperideal and also provided some examples.
Nabilah Abughazalah +3 more
wiley +1 more source
Contribution to study special kinds of hyperideals in ordered semihyperrings
Journal of Taibah University for Science, 2017 In the present paper, we introduce the notion of k-hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k-hyperideals of ordered semihyperrings.
S. Omidi, B. Davvaz
doaj +1 more source
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
openaire +1 more source
Hyperideal polyhedra in hyperbolic 3-space [PDF]
Bulletin de la Société mathématique de France, 2002 The authors consider here hyperideal polyhedra. Thought of as projective polyhedra, these are intersections of the hyperbolic space \(\mathbb{H}^3\) with polyhedra, all of whose vertices lie outside \(\mathbb{H}^3\) (they may lie on the absolute). In this paper, such polyhedra are completely classified up to isometry in terms of their combinatorial ...
Bao, Xiliang, Bonahon, Francis
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Hyperideals of (Finite) General Hyperrings
Mathematics Interdisciplinary Research, 2021 A general hyperring is an algebraic hypercompositional system (R,+,·) with two hyperoperations ”+" and ” · ”, such that for all x,y ∈ R, x + y and x · y are non-empty subsets of R, and R satisfies the axioms similar to a ring. We introduce and study hyperideals of a general hyperring.
Ameri, Reza +2 more
openaire +2 more sources
Completely Prime Hyperideals of Ternary Semihypergroups
Discussiones Mathematicae - General Algebra and Applications, 2020 In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Sarala Y. +3 more
doaj +1 more source
Classes of $F$-hyperideals In A Krasner $F^{(m,n)}$-Hyperring [PDF]
Journal of Mahani Mathematical Research, 2023 Krasner $F^{(m,n)}$-hyperrings were introduced and investigated by Farshi and Davvaz. In this paper, our purpose is to define and characterize three particular classes of $F$-hyperideals in a Krasner $F^{(m,n)}$-hyperring, namely prime $F ...
Mahdi Anbarloei
doaj +1 more source
On Minimal and Maximal Hyperidealsin n-ary Semihypergroups
Mathematics, 2020 The concept of j-hyperideals, for all positive integers 1≤j≤n and n≥2, in n-ary semihypergroups, is a generalization of the concept of left, lateral and right hyperideals in ternary semihypergroups.
Jukkrit Daengsaen +2 more
doaj +1 more source
On volumes of hyperideal tetrahedra with constrained edge lengths
, 2019 Hyperideal tetrahedra are the fundamental building blocks of hyperbolic 3-manifolds with geodesic boundary. The study of their geometric properties (in particular, of their volume) has applications also in other areas of low-dimensional topology, like ...
Frigerio, Roberto, Moraschini, Marco
core +1 more source
Primal hyperideals of multiplicative hyperring
, 2021 Summary: In this paper, we introduce the concepts of adjoint, \(\mathrm{n}\)-adjoint of a hyperideals and primal and \(\mathrm{n}\)-primly hyperideals of a commutative multiplicative hyperrings. Many results con-cerning prime, \(\mathrm{n}\)-primly, primary and primal hyperideals of a commutative multiplicative hy-perrings are given, illustrated by ...
Al-Ashker, Mohammed M. +2 more
openaire +2 more sources