Results 21 to 30 of about 109 (59)

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

Green fields

open access: yes, 2021
We introduce {\em Green fields}, as commutative Green biset functors with no non-trivial ideals. We state some of their properties and give examples of known Green biset functors which are Green fields.
Bouc, Serge, Romero, Nadia
core   +3 more sources

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

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

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

Some results on symmetric bi-(sigma,au)-derivations in near-rings [PDF]

open access: yes, 2010
The aim of this paper is to investigate certain results on 3-prime near-rings and generalize these results on near-rings to semi-group ideals of 3-prime near ...
Yazarli, Hasret, Öztürk, Mehmet Ali
core   +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

Towards semi-trusses [PDF]

open access: yes, 2017
A general or truss distributive laws between two associative operations on the same set are studied for cancellative and inverse ...
Tomasz Brzezinski
core   +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

Structure Quasi-PO-ternary in Po-Ternary Semirings [PDF]

open access: yes, 2015
In this paper we introduce the definitions related to quasi-PO-ternary ideals and Bi-PO-ternary ideals in PO-ternary semirings and we study the relation between quasi-PO-ternary ideals and Bi-PO-ternary ideals in PO-ternary ...
MadhusudhanaRao, D. (D)   +2 more
core  

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