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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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Hyperideal polyhedra in the 3-dimensional anti-de Sitter space [PDF]

Advances in Mathematics, 2022
peer reviewedWe study hyperideal polyhedra in the 3-dimensional anti-de Sitter space AdS3, which are defined as the intersection of the projective model of AdS3 with a convex polyhedron in RP3 whose vertices are all outside of AdS3 and whose edges all ...
Jean-Marc Schlenker
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Hyperideal circle patterns

Mathematical Research Letters, 2005
11 pages, 2 figures. Updated versions will be posted on http://picard.ups-tlse.fr/~schlenker Revised version: some corrections, better proof, added referencesA ``hyperideal circle pattern'' in $S^2$ is a finite family of oriented circles, similar to the `
Schlenker, Jean-Marc
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$ϕ$-$δ$-Primary Hyperideals in Krasner Hyperrings

2021
In this paper, we study commutative Krasner hyperring with nonzero identity. $ϕ$-prime, $ϕ$-primary and $ϕ$-$δ$-primary hyperideals are introduced. We intend to extend the concept of $δ$-primary hyperideals to $ϕ$-$δ$-primary hyperideals. We give some characterizations of hyperideals to classify them. We denote the set of all hyperideals of $\Re$ by $L(
Kaya, Elif, Bolat, Melis, Onar, Serkan, Ersoy, Bayram Ali, Hila, Kostaq   +4 more
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On graded 2-absorbing primary hyperideals of a graded multiplicative hyperring

2023
Summary: Let \(G\) be a group with identity \(e\) and \(R\) be a multiplicative hyperring. We introduce and study the notions of graded 2-absorbing and graded 2-absorbing primary hyperideals of a graded multiplicative hyperring \(R\) which are generalizations of prime hyperideals.
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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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$ϕ$-$δ$-$S$-primary hyperideals

Among many generalizations of primary hyperideals, weakly $n$-ary primary hyperideals and $n$-ary $S$-primary hyperideals have been studied recently. Let $S$ be an $n$-ary multiplicative set of a commutative Krasner $(m,n)$-hyperring $K$ and, $ϕ$ and $δ$ be reduction and expansion functions of hyperideals of $K$, respectively. The purpose of this paper
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On phi-(k,n)-absorbing delta-primary hyperideals

In this paper, we aim to present the notion phi-(k,n)-absorbing delta-primary hyperideals in a Krasner (m,n)-hyperring G.
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\(\phi\)-\((k, n)\)-absorbing (primary) hyperideals in a Krasner \((m, n)\)-hyperring

Summary: Various expansions of prime hyperideals have been studied in a Krasner \((m, n)\)-hyperring \(R\). For instance, a proper hyperideal \(Q\) of \(R\) is called weakly \((k, n)\)-absorbing (primary) provided that for \(r_1^{kn - k + 1} \in R\), \(g(r_1^{kn - k + 1})\in Q - \{0\}\) implies that there are \((k - 1)n - k + 2\) of the \(r_i\)'s whose
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