Results 11 to 20 of about 203 (138)
On the semi-sub-hypergroups of a hypergroup [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we study some properties of the semi-sub-hypergroups and the closed sub-hypergroups of the hypergroups. We introduce the correlated elements and the fundamental elements and we connect the concept antipodal of the latter with Frattin's ...
Ch. G. Massouros
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Quasi-Order Hypergroups and T-Hypergroups
Ratio Mathematica, 2017 Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom.
Šárka Hošková-Mayerová
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A (Discrete) Homotopy Theory for Geometric Spaces
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 We define the concepts of homotopy and fundamental group for geometric spaces as a generalization of metric spaces, digital spaces, and graphs; then, we compare them with corresponding concepts in these spaces. Also, we state some properties of the fundamental group of geometric spaces and some theorems to calculate them.
Asieh Pourhaghani +2 more
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A Novel Study on Ordered Anti‐Involution LA‐Semihypergroups
Journal 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
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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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New Aspects in the Theory of Complete Hypergroups
Computer Sciences & Mathematics Forum, 2023 The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the complete ...
Irina Cristea
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Algebraic Properties of (ω, θ)‐Complex Fuzzy Subgroups
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 This paper defined the notion of (ω, θ)‐complex fuzzy sets, (ω, θ)‐complex fuzzy subgroupoid, and (ω, θ)‐complex fuzzy subgroups and described important examples under (ω, θ)‐complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to (ω, θ)‐complex fuzzy normal subgroups.
Ahad Abdullah Al-harshni +2 more
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Applications of (Neutro/Anti)sophications to Semihypergroups
Journal of Mathematics, 2021 In this paper, we extend the notion of semi-hypergroups (resp. hypergroups) to neutro-semihypergroups (resp. neutro-hypergroups). We investigate the property of anti-semihypergroups (resp. anti-hypergroups).
A. Rezaei, F. Smarandache, S. Mirvakili
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A Theoretical Investigation Based on the Rough Approximations of Hypergraphs
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Rough sets are a key tool to model uncertainty and vagueness using upper and lower approximations without predefined functions and additional suppositions. Rough graphs cannot be studied more effectively when the inexact and approximate relations among more than two objects are to be discussed.
Musavarah Sarwar, Gohar Ali
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Hypergroups Related to a Pair of Compact Hypergroups [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to ...
Heyer, H. +3 more
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