Results 51 to 60 of about 84 (67)

Prime hyperideal in multiplicative ternary hyperrings

International Journal of Algebra, 2016
Md. Salim, T. K. Dutta
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(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 results about them.
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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 $y \in P$.
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Prime and primary hyperideals in Krasner (m,n)-hyperrings

European Journal of Combinatorics, 2013
R. Ameri, M. Norouzi
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Applications of Hoehnke hyperideals to prime left hyperideals in left almost semihypergroups

Afrika Matematika, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On prime soft bi-hyperideals of semihypergroups

Journal of Intelligent & Fuzzy Systems, 2014
In this paper, we introduce prime, strongly prime, semiprime, irreducible and strongly irreducible soft bi-hyperideals of a semihypergroup over an initial universe U. We characterize regular and intra-regular semihypergroups in terms of these soft bi-hyperideals.
Naz, Shafaq, Shabir, Muhammad
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A study on (i-v) prime fuzzy hyperideal of semihypergroups

Afrika Matematika, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarkar, Paltu, Kar, Sukhendu
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A study on a generalization of the n-ary prime hyperideals in a Krasner (m, n)-hyperring

Afrika Matematika, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Unifing the prime and primary hyperideals under one frame in a Krasner (m, n)-hyperring

Communications in Algebra, 2021
Prime hyperideals and primary hyperideals as two of the most important structures in a Krasner (m, n)-hyperring are defferent from each other in many aspects.
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\(n\)-absorbing \(I\)-prime hyperideals in multiplicative hyperrings

Summary: In this paper, we define the concept \(I\)-prime hyperideal in a multiplicative hyperring \(R\). A proper hyperideal \(P\) of \(R\) is an \(I\)-prime hyperideal if for \(a, b \in R\) with \(ab \subseteq P-IP\) implies \(a \in P\) or \(b \in P\). We provide some characterizations of \(I\)-prime hyperideals.
Mena, Ali Abdullah, Akray, Ismael
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