Results 31 to 40 of about 165 (126)

Semi-derivation on prime hyperrings [PDF]

open access: yesJournal of Hyperstructures, 2023
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi ...
Nikhil D. Sonone, Kishor F. Pawar
doaj   +1 more source

Existence theorem of finite krasner hyperfields [PDF]

open access: yesJournal of Hyperstructures, 2021
The concern of this paper is to show that there always exist Krasner hyperfields of order n, where n is an integer greaterthan or equal to 2.
Yuming Feng   +3 more
doaj   +1 more source

A note on composition (m, n)-hyperrings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
Based on the concepts of composition ring and composition hyper- ring, in this note we introduce the notion of composition structure for (m, n)-hyperrings and study the connections with composition hy- perrings.
Norouzi Morteza, Cristea Irina
doaj   +1 more source

Some Results on the Divisible Hyperrings

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 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
doaj   +1 more source

On Refined Neutrosophic Hyperrings [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
This paper presents the refinement of a type of neutrosophic hyperring in which +’ and ·’ are hyperoperations and studied some of its properties. Several interesting results and examples are presented.
M.A. Ibrahim   +3 more
doaj   +1 more source

Construction of composition (m, n, k)-hyperrings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, our aim is to introduce the notion of a composition (m, n, k)-hyperring and to analyze its properties. We also consider the algebraic structure of (m, n, k) hyperrings which is a generalization of composition rings and composition ...
Davvaz B.   +2 more
doaj   +1 more source

Normal Self-injective Hyperrings

open access: yesمجلة بغداد للعلوم, 2022
       In this paper normal self-injective hyperrings are introduced and studied. Some new relations between this concept and essential hyperideal, dense hyperideal, and divisible hyperring are studied. 
Mayssam Fadel Abood   +1 more
doaj   +1 more source

Transitivity of the εm-relation on (m-idempotent) hyperrings

open access: yesOpen Mathematics, 2018
On a general hyperring, there is a fundamental relation, denoted γ*, such that the quotient set is a classical ring. In a previous paper, the authors defined the relation εm on general hyperrings, proving that its transitive closure εm∗$\begin{array}{} \
Norouzi Morteza, Cristea Irina
doaj   +1 more source

Associate, Hyperdomainlike, and Presimplifiable Hyperrings

open access: yesJournal of Mathematics, 2014
Based on the works of Axtell et al., Anderson et al., and Ghanem on associate, domainlike, and presimplifiable rings, we introduce new hyperrings called associate, hyperdomainlike, and presimplifiable hyperrings.
Agboola Adesina Abdul Akeem   +1 more
doaj   +1 more source

Generalizations of 2-Absorbing Primary Hyperideals of Multiplicative Hyperrings [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2023
In this paper, we introduce the concept of ϕ-2-absorbing primary hyperideals in multiplicative hyperrings. Several results concerning ϕ-2-absorbing primary hyperideals are proved.
Mohammad Hamoda
doaj   +1 more source

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