Results 11 to 20 of about 38 (37)

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

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

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

Heaps of modules: categorical aspects

Forum of Mathematics, Sigma
Connections between heaps of modules and (affine) modules over rings are explored. This leads to explicit, often constructive, descriptions of some categorical constructions and properties that are implicit in universal algebra and algebraic theories. In
Simion Breaz, Tomasz Brzeziński, Bernard Rybołowicz, Paolo Saracco   +3 more
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Commuting graphs of gamma rings

Open Mathematics
Let M be a non-commutative gamma ring and ZΓM ${Z}_{{\Gamma}}\left(M\right)$ denote the center of the gamma ring M. The vertices a and b are consecutive if a ≠ b and aαb = bαa for every α ∈ Γ, with vertices taken from the set M−ZΓM $M-{Z}_{{\Gamma ...
Arslan Okan
doaj   +1 more source

On topological quotient hyperrings and α*-relation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this research, we first introduce the concept of a topological Krasner hyperring and then proceed to investigate its properties. By applying relative topology to subhyperrings, we analyze the properties associated with them. In other words, the aim is
Zare A., Davvaz B.
doaj   +1 more source

Hv-module of functions over Hv-ring of arithmetics and it’s fundamental module

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
After 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

A Generalized Higher Reverse Left (respectively Right) Centralizer on Prime Gamma-Rings

, 2019
This study introduces the concepts of generalized higher reverse left (respectively right) centralizer , Jordan generalized higher reverse left (respectively right) centralizer and Jordan triple generalized higher reverse left (respectively right ...
Salih, Salah Mehdi, Jarullah, Fawaz Ra'ad   +1 more
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A short note on the left A-Γ-hyperideals in ordered Γ-semihypergroups

AKCE International Journal of Graphs and Combinatorics, 2022
Yongsheng Rao, Saeed Kosari, Hao Guan
exaly  

Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring

Communications in Algebra, 2021

exaly