Results 41 to 50 of about 153 (112)

Inverse Semihypergroups

open access: yesWSEAS TRANSACTIONS ON MATHEMATICS, 2020
The concept of inverse semihypergroup is a generalization of the concept of inverse semigroup. In this paper we defined an orthodox semihypergroup S as it is a regular semihypergroup in which the set of idempotents of S forms a subsemihypergroup. We also presented a new definition of inverse semihypergroup S as each element x ∈ S has a unique inverse s
openaire   +1 more source

SOME PROPERTIES OF SUBSEMIHYPERGROUPS

open access: yes, 2021
. In this paper we will present two properties of subsemihypergroups. The first property is a relation between subsemihypergroups and semihypergroup. This property enable us to get the second property, which provides a relation between subsemihypergroups
Sihwaningrum, Idha   +4 more
core   +1 more source

NA

open access: yes, 2022
Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions,
Narjes Firouzkouhi   +11 more
core   +1 more source

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah   +2 more
wiley   +1 more source

Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
We call a Krasner right S‐hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved.
Yıldız Aydın   +2 more
wiley   +1 more source

On Further Properties of Fully Zero-Simple Semihypergroups [PDF]

open access: yes, 2019
Let $mfF_0$ the class of fully zero-simple semihypergroups. In this paper we study the main properties of residual semihypergroup $(H_+, star)$ of a semihypergroup $(H, circ)$ in $mfF_0$.
Faro, Giovanni Lo   +2 more
core   +1 more source

A further study on ordered regular equivalence relations in ordered semihypergroups

open access: yes, 2018
In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Jian Tang   +3 more
core   +2 more sources

(m, n)-Hyperfilters in Ordered Semihypergroups

open access: yesKragujevac Journal of Mathematics, 2022
we generalize concepts of left hyperfilters, right hyperfilters and hyperfilters of an ordered semihypergroup by introducing concepts of left-m-hyperfilters, right-n-hyperfilters and (m,n)-hyperfilters of an ordered semihypergroup. Then, some properties of these generalized hyperfilters have been studied. Finally, left-m-hyperfilters (resp. right-n-hyperfilters,
Mahboob, Ahsan, Khan, Noor Mohammad
openaire   +2 more sources

On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups

open access: yes, 2018
The concept of (∈,∈∨qk)-fuzzy hyperideal of an ordered LA-semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated.
Mohammed M. Khalaf   +3 more
core   +1 more source

Fundamental relations in simple and 0-simple semihypergroups of small size [PDF]

open access: yes, 2012
We consider the fundamental relations β and γ in simple and 0-simple semihypergroups, especially in connection with certain minimal cardinality questions.
FASINO, Dario   +3 more
core   +1 more source

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