Results 11 to 20 of about 43 (39)
DIFFERENTIAL MULTIPLICATIVE HYPERRINGS [PDF]
, 2014 There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation.
Bijan Davvaz, L. Kamali Ardekani
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CLASSIFICATIONS OF UNITARY KRASNER HYPERRINGS OF SMALL ORDER [PDF]
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
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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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(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
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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(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