Results 1 to 10 of about 24 (20)

A STUDY ON STRUCTURE OF PO-TERNARY SEMIRINGS [PDF]

open access: yes, 2015
This paper is divided into two sections. In section 1, the notion of a PO-ternary semiring was introduced and examples are given.  Further the terms commutative PO-ternary semiring , quasi commutative PO-ternary semiring, normal PO-ternary semiring,
Madhusudhanarao, Dasari   +2 more
core   +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

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

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

Operations on hyperideals in ordered Krasner hyperrings

open access: yesAnalele 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.
doaj   +1 more source

The algebraic structure of left semi-trusses

open access: yes, 2020
The distributive laws of ring theory are fundamental equalities in algebra. However, recently in the study of the Yang-Baxter equation, many algebraic structures with alternative "distributive" laws were defined.
Colazzo, Ilaria, Van Antwerpen, Arne
core   +1 more source

DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]

open access: yes, 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.
Bijan Davvaz, L. Kamali Ardekani
core   +1 more source

Multiplicative hyperring of fractions and coprime hyperideals

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show ...
Ameri R., Kordi A., Hoskova-Mayerova S.
doaj   +1 more source

An introduction to the theory of algebraic multi-hyperring spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
A Smarandache multi-space is a union of n different spaces equipped with some different structures for an integer n ≥ 2 which can be used both for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics.
Hila Kostaq, Davvaz Bijan
doaj   +1 more source

CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]

open access: yes
In this article, we investigate the distributability of the binary operation of monoids with zero compared to the hyperoperation of canonical hypergroups of order 2 and 3with the help of analytical and algebraic methods and without using computer ...
Hamidizadeh, Kazem   +2 more
core   +1 more source

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