Results 51 to 60 of about 227 (121)

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

Completely Prime Hyperideals of Ternary Semihypergroups [PDF]

open access: yes, 2020
In this article, we introduce the notions of pseudosymmetric hyperideals and globally idempotent ternary semihypergroups and present various examples for them.
Mani P. Seetha   +3 more
core   +2 more sources

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 Hyperideals of Multiplicative Hyperrings

open access: yesCumhuriyet Science Journal, 2022
Let R be a commutative multiplicative hyperring. In this paper, we introduce and study the concepts of n-hyperideal and δ-n-hyperideal of R which are generalization of n-ideals and δ-n-ideals of the in a commutative ring. An element a is called a nilpotent element of R if there exists a positive integer n such that 0∈a^n.
Betül COŞGUN, Ummahan Merdinaz ACAR
openaire   +2 more sources

Generalized fuzzy hyperideals of hyperrings

open access: yesComputers & Mathematics with Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianming Zhan 0001   +2 more
openaire   +3 more sources

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

Hyperideals in M-polysymmetrical hyperrings

open access: yesJournal of Algebraic Systems, 2019
Summary: An M-polysymmetrical hyperring \((R,+,\cdot)\) is an algebraic system, where \((R,+)\) is an M-polysymmetrical hypergroup, \((R,\cdot )\) is a semigroup and \(\cdot\) is bilaterally distributive over \(+\). In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this concept, we construct an ...
Madani, M. A., Mirvakili, S., Davvaz, B.
openaire   +3 more sources

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

The maximal hyperrings of quotients

open access: yes, 2020
We show that the maximal quotient hyperring Q(mr)(R) of a semiprime hyperring R can be obtained in a similar way to a maximal quotient ring. In this regard we introduce and study some basic notions of hyperrings such as dense hyperideal, essential ...
Yazarli, Hasret   +2 more
core   +1 more source

A Study on k-Hyperideals in Ordered Semihyperrings

open access: yes, 2023
In this study, we propose the concept of left extension of a hyperideal by generalizing the concept of k-hyperideals in ordered semihyperrings with symmetrical hyper-operation ⊕.
Saber Omidi, Mehdi Gheisari, Zheng Kou
core   +1 more source

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