Results 1 to 10 of about 44 (40)
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 +1 more source
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.
doaj +1 more source
Hyperideal theory in ordered Krasner hyperrings
Analele 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
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. +2 more
doaj +1 more source
An introduction to the theory of algebraic multi-hyperring spaces
Analele 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
Multiplicative hyperring of fractions and coprime hyperideals
Analele 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
CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]
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
A STUDY ON STRUCTURE OF PO-TERNARY SEMIRINGS [PDF]
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
Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaAfter introducing the definition of hypergroups by Marty, the study of hyperstructures and its connections with other fields has been of great importance. In this paper, we continue the investigation between hyperstructure theory and number theory.
Al Tahan M., Davvaz B.
doaj +1 more source
AN APPROACH TO SEMIHYPERMODULES OVER SEMIHYPERRINGS [PDF]
In this paper, we introduce semihypermodules over semihyperrings as a generalization of semimodules over semirings. Besides studying their properties, we introduce an equivalence relation on them and use it to define factor semihypermodules. Moreover, we
Al Tahan, Madeleine, Davvaz, Bijan
core +1 more source