Results 31 to 40 of about 196 (109)

Soft semihyperrings- an introduction [PDF]

open access: yesJournal of Hyperstructures, 2012
The purpose of this paper is to introduce and study soft semihyperrings by giving importance both on attributes and functional value. In this paper the notions of soft semihyperring and its ideals are introduced and studied systematically.
D. Mandal, S. K. Sardar
doaj   +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

Homomorphism and quotient of fuzzy k-hyperideals [PDF]

open access: yes, 2010
In [15], we introduced the notion of weak (resp. strong) fuzzy k- hyperideal. In this note we investigate the behavior of them under homomorphisms of semihyperrings. Also we define the quotient of fuzzy weak (resp.
Ameri, R., Hedayati, H.
core   +5 more sources

Height of prime hyperideals in Krasner hyperrings

open access: yesFilomat, 2017
Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion. In the second part of the article we illustrate some results concerning the height of prime hyperideals in ...
Cristea, Irina Elena, Bordbar, Hashem
openaire   +2 more sources

Some Results on the Divisible Hyperrings [PDF]

open access: yes, 2023
    A class of hyperrings known as divisible hyperrings will be studied in this paper. It will be presented as each element in this hyperring is a divisible element.
Mayssam Fadel Abood   +1 more
core   +2 more sources

On Hybrid Pure Hyperideals in Ordered Hypersemigroups [PDF]

open access: yes, 2023
In this paper, the concepts of hybrid pure hyperideals in ordered hypersemigroups are introduced and some algebraic properties of hybrid pure hyperideals are studied.
Hataikhan Sanpan   +2 more
core   +2 more sources

Superring of Polynomials over a Hyperring

open access: yesMathematics, 2019
A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties.
Reza Ameri   +2 more
doaj   +1 more source

Alpha-prime hyperideals in a multiplicative hyperring

open access: yes, 2021
The notion of multiplicative hyperrings is an important class of the algebraic hyper-structures.
openaire   +2 more sources

On Prime Hyperideals of a Krasner Hyperring

open access: yesErzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022
The basis of this study, which was put forth in order to appropriate a special area in the hyperring theory, which has recently been studied as a generalization of the ring theory, which uses the module theory as an application field, is based on integrally closed Krasner hyperrings and (almost) integral dependence applications in krasner hyperrings.
openaire   +2 more sources

On Prime Hyperfilters (Hyperideals) in ^-Hyperlattices

open access: yesEuropean Journal of Pure and Applied Mathematics, 2018
In this paper, we introduce the notions of strong ” ∧ ”-hyperlattices, hyperideals and hyperfilters in strong ”∧”-hyperlattices. Also, we give equivalence conditions for prime hyperfilters (hyperideal) in strong ∧-hyperlattices. Distributivity (dual distributivity) in ”∧”-hyperlattices,IA-hyperideals and prime hyperfilters in strong
Mohsen Amiri Bideshki   +2 more
openaire   +2 more sources

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