Results 21 to 30 of about 779 (169)

Direct Limit of Krasner (m, n)-Hyperrings [PDF]

Journal of Sciences, Islamic Republic of Iran, 2020
The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings.
Reza Ameri, Ameneh Asadi
doaj   +2 more sources

Associate, Hyperdomainlike, and Presimplifiable Hyperrings [PDF]

Journal 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, Davvaz Bijan   +1 more
doaj   +2 more sources

DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]

Journal of Algebraic Systems, 2014
There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
L. Kamali Ardekani, Bijan Davvaz
doaj   +2 more sources

Operations on hyperideals in ordered Krasner hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the present paper, we will concentrate our efforts on ordered Krasner hyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of interior hyperideal in ordered Krasner hyperrings. We also characterize
Omidi S., Davvaz B., Corsini P.
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A note on composition (m, n)-hyperrings

Analele 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   +2 more sources

Note on Isomorphism Theorems of Hyperrings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2010
There are different notions of hyperrings (𝑅,+,⋅). In this paper, we extend the isomorphism theorems to hyperrings, where the additions and the multiplications are hyperoperations.
Muthusamy Velrajan, Arjunan Asokkumar
doaj   +2 more sources

Hyperideals and hypersystems in LA-hyperrings [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2017
In this paper we introduce the concept of LA-hyperrings. We explore some useful characterizations of LA-hyperrings through their hyperideals and hypersystems.
Inayatur Rehman, Naveed Yaqoob, Shah Nawaz   +2 more
doaj   +2 more sources

On Neutrosophic Canonical Hypergroups and Neutrosophic Hyperrings [PDF]

Neutrosophic Sets and Systems, 2014
A neutrosophic hyperstructure is an algebraic structure generated by a given hyperstructure H and an indeterminacy factor I under the hyperoperation(s) of H.
A.A.A. Agboola, B. Davvaz
doaj   +2 more sources

Regular local hyperrings and hyperdomains

AIMS Mathematics, 2022
This paper falls in the area of hypercompositional algebra. In particular, it focuses on the class of Krasner hyperrings and it studies the regular local hyperrings.
Cristea, Irina, Bordbar, Hashem, Rasovic, Sanja   +2 more
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Construction of composition (m, n, k)-hyperrings

Analele 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., Rakhsh-Khorshid N., Shum K. P.   +2 more
doaj   +2 more sources