Results 11 to 20 of about 24 (20)
(weakly) (s,n)-closed hyperideals
, 2023 A multiplicative hyperring is a well-known type of algebraic hyperstructures which extend a ring to a structure in which the addition is an operation but multiplication is a hyperoperation. Let G be a commutative multiplicative hyperring and s,n \in Z^+.
Anbarloei, Mahdi
core
Radicals and Ideals of Affine Near-semirings over Brandt Semigroups
, 2015 This work obtains all the right ideals, radicals, congruences and ideals of the affine near-semirings over Brandt semigroups.Comment: In Proceedings of the International Conference on Semigroups, Algebras and Operator Theory (ICSAOT-2014), Kochi ...
J Kumar +4 more
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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
A more general framework than the delta-primary hyperideals
, 2023 In this paper we aim to study the notion of (t,n)-absorbing delta-semiprimary hyperideal in a Krasner (m,n ...
Anbarloei, Mahdi
core
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
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On topological quotient hyperrings and α*-relation
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn 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
(Weakly) $(\alpha,\beta)$-prime hyperideals in commutative multiplicative hypeering
Let $H$ be a commutative multiplicative hyperring and $\alpha, \beta \in \mathbb{Z}^+$. A proper hyperideal $P$ of $H$ is called (weakly) $(\alpha,\beta)$-prime if $x^\alpha \circ y \subseteq P$ for $x,y \in H$ implies $x^\beta \subseteq P$ or $y \in P$.
Anbarloei, Mahdi
core
(u,v)-absorbing (prime) hyperideals in commutative multiplicative hyperrings
In this paper, we will introduce the notion of (u,v)-absorbing hyperideals in multiplicative hyperrings and we will show some properties of them. Then we extend this concept to the notion of (u,v)-absorbing prime hyperideals and thhen we will give some ...
Anbarloei, Mahdi
core
Merging N-hyperideals and J-hyperideals in one frame
The notions of N-hyperideals and J-hyperideals as two classes of hyperideals were recently defined in the context of Krasner (m,n)-hyperrings. These concepts are created on the basis of the intersection of all n-ary prime hyperideals and the intersection
Anbarloei, Mahdi
core