Results 11 to 16 of about 16 (16)

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

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

Heaps of modules: categorical aspects

open access: yesForum 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   +3 more
doaj   +1 more source

On topological quotient hyperrings and α*-relation

open access: yesAnalele 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

open access: yesAnalele 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

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