Results 11 to 20 of about 153 (112)

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.
Nabilah Abughazalah, Naveed Yaqoob
core   +2 more sources

On Pure Hyperradical in Semihypergroups [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 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.
Kostaq Hila, Krisanthi Naka
core   +3 more sources

Topological Amenability of Semihypergroups

open access: yesForum Mathematicum, 2023
In this article, we introduce and explore the notion of topological amenability in the broad setting of (locally compact) semihypergroups. We acquire several stationary, ergodic and Banach algebraic characterizations of the same in terms of convergence ...
Bandyopadhyay, Choiti
core   +2 more sources

Application of (m, n)-Г-Hyperideals in Characterization of LA-Г-Semihypergroups [PDF]

open access: yesCategories and General Algebraic Structures with Application, 2019
In this paper, we study the concept of ordered (m, n)-Г-hyperideals in an ordered LA-Г-semihypergroup. We show that if (S, Г, ◦,⩽) is a unitary ordered LA-Г-semihypergroup with zero 0 and satisfies the hypothesis that it contains no non-zero nilpotent (m,
Basar, Abul, Basar Abul
core   +5 more sources

Rough Hyperfilters in Po-LA-Semihypergroups

open access: yesDiscrete Dynamics in Nature and Society, 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.
Ferdaous Bouaziz, Naveed Yaqoob
core   +3 more sources

Representations, Translations and Reductions for Ternary Semihypergroups

open access: yesAxioms, 2022
The concept of ternary semihypergroups can be considered as a natural generalization of arbitrary ternary semigroups. In fact, each ternary semigroup can be constructed to a ternary semihypergroup.
Anak Nongmanee, Sorasak Leeratanavalee
core   +3 more sources

Partially ordered left almost semihypergroups

open access: yesJournal of the Egyptian Mathematical Society, 2015
The aim of this paper is to study the concept of ordered LA-semihypergroup. Here we consider some LA-semihypergroups and define a binary relation on them such that to become partially ordered LA ...
Gulistan, Muhammad, Yaqoob, Naveed
core   +3 more sources

On soft semihypergroups [PDF]

open access: yesJournal of Intelligent & Fuzzy Systems, 2014
Molodtsov introduced the concept of soft set theory which can be used as a generic mathematical tool for dealing with uncertainties. In this paper, we discuss a new approach to introduce the basic properties of soft sets and compare soft sets to the related concepts of semihypergroups.
Shafaq Naz, Muhammad Shabir
  +6 more sources

Breakable Semihypergroups [PDF]

open access: yesSymmetry, 2019
In this paper, we introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric breakable semihypergroups, proposing a different proof
Dariush Heidari, Irina Cristea
openaire   +3 more sources

Map‐Pointed Fuzzy Hyperoperations

open access: yesJournal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, we establish a correspondence between fuzzy hypergroupoids and certain types of hypergroupoids that possess map‐pointed properties. Specifically, we introduce a new type of fuzzy hyperoperations, known as map‐pointed fuzzy hyperoperations, and show that this correspondence yields an adjunction.
Mohammad Esmaeil Sharbati   +4 more
wiley   +1 more source

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