Results 71 to 80 of about 294 (94)

Applications of the α⁎-relation to Krasner hyperrings [PDF]

, 2012
This paper deals with a special type of hyperrings called Krasner hyperring. The main tool is the studding of the α⁎-relation. The α⁎-relation was introduced by Davvaz and Vougiouklis. Indeed, we use the α⁎-relation in a given Krasner hyperring.
Mirvakili, S., Davvaz, B.
core   +1 more source

Recent results in hyperring and hyperfield theory

International Journal of Mathematics and Mathematical Sciences, 1988
This survey article presents some recent results in the theory of hyperfields and hyperrings, algebraic structures for which the “sum” of two elements is a subset of the structure.
Anastase Nakassis
doaj   +1 more source

CONTRIBUTION TO THE STUDY OF HYPERRINGS

, 1991
THE PURPOSE OF THE PRESENT DISSERTATION IS AN APPROACH FOR THE STUDY OF THE GENERALIZED HYPERRINGS WITH TWO WIDE CLASSES OF HYPERRINGS THAT WE CALL P-HYPERRINGS AND (H,R)-HYPERRINGS.
Σπάρταλης, Στέφανος
core   +1 more source

Superring of Polynomials over a Hyperring

Mathematics, 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, Mansour Eyvazi, Sarka Hoskova-Mayerova   +2 more
doaj   +1 more source

Composition hyperrings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013
In this paper we introduce the notion of composition hyperring. We show that the composition structure of a composition hyperring is determined by a class of its strong multiendomorphisms.
Cristea Irina, Jančić-Rašović Sanja
doaj   +1 more source

Hyperaffine planes over hyperrings [PDF]

, 1996
The aim of this paper is to construct a geometric structure over both an hyperring and a multiplicative hyperring. In order to accomplish this goal we will need to define a particular class of planar hyperrings. Moreover, the notions of hyperaffine plane,
ROTA, Rosaria
core   +1 more source

CLEAN MULTIPLICATIVE HYPERRINGS

, 2015
In this work, we introduce the notation of clean multiplicative hyperrings and we will obtain some properties of them.  Also we study some topological concepts to prove some results on clean elements of multiplicative ...
Kordi, A., Ameri, R.
core  

Vague soft hypermodules; connections with soft hypermodules and homomorphisms [PDF]

Journal of Hyperstructures
In this paper, the notion of vague soft hypermodules is introduced, which is an extension of the notions of vague soft hypergroups and vague soft hyperrings.
Tahere Nozari, Morteza Norouzi
doaj   +1 more source

A Study on Special Kinds of Derivations in Ordered Hyperrings

, 2022
In this study, we concentrate on an important class of ordered hyperstructures with symmetrical hyperoperations, which are called ordered Krasner hyperrings, and discuss strong derivations and homo-derivations.
Saeed Kosari, Yongsheng Rao, Nategh Abbasizadeh, Aysha Khan   +3 more
core   +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