Results 61 to 70 of about 251 (147)

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

$n-$absorbing $I-$prime hyperideals in multiplicative hyperrings

open access: yes, 2023
In this paper, we define the concept $I-$prime hyperideal in a multiplicative hyperring $R$. A proper hyperideal $P$ of $R$ is an $I-$prime hyperideal if for $a, b \in R$ with $ab \subseteq P-IP$ implies $a \in P$ or $b \in P$.
Mina, Ali A., Akray, Ismael
core  

Interval-valued Pythagorean fuzzy weak bi-hyperideals in hypersemigroups

open access: yes, 2021
<p>In this paper we introduce the concept of interval-valued Pythagorean fuzzy subsemihypergroup and interval-valued Pythagorean fuzzy weak bi-hyperideals in hypersemigroups.
V.S. Subha and S. Sharmila
core   +1 more source

On the Left and Right Almost Hyperideals of LA-Semihypergroups

open access: yes, 2021
In this paper, we define left almost hyperideals, right almost hyperideals, almost hyperideals, and minimal almost hyperideals. We demonstrate that the intersection of almost hyperideals is not required to be an almost hyperideal, but the union of almost
Nawaz, Shah   +4 more
core   +1 more source

Study on quasi-Γ-hyperideals in Γ-semihypergroups

open access: yes, 2019
In this paper, we are dealing with [Formula: see text]-semihypergroups which are a generalization of a semigroup, [Formula: see text]-semigroup and a semihypergroup. We introduce the notion of generalized quasi-[Formula: see text]-hyperideal i.e.
Kostaq Hila   +2 more
core   +1 more source

Hyperideal theory in ordered Krasner hyperrings

open access: yesAnalele 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
doaj   +1 more source

An Investigation on Weak Concepts in Ordered Hyperstructures

open access: yes, 2021
The class of weak pseudoorders and left weak interior hyperideals in ordered hyperstructures is a generalization of pseudoorders and interior hyperideals.
Jietong Zhao   +4 more
core   +1 more source

Study of Gamma-hyperrings by fuzzy hyperideals with respect to a t-norm

open access: yes, 2019
In this paper, we study the Gamma-hyperrings via T-fuzzy hyperideals. By means of the use of a triangular norm T, we define, characterize and study the T-fuzzy left and right hyperideals, T-fuzzy quasi-hyperideal and bi-hyperideal Gamma-hyperrings in and
Naka, Krisanthi   +3 more
core   +1 more source

The L-ordered L-semihypergroups

open access: yesOpen Mathematics, 2020
This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained.
Su Shuhua, Liu Fuyao, Yang Shuqun
doaj   +1 more source

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