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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003 Number 3, Pages 15–24 (Mi basm203)

Research articles

On some Hypergroups and their Hyperlattice Structures

G. A. Moghania, A. R. Ashrafib

a Department of Mathematics, University of Mazandaran, Babolsar, Iran
b Department of Mathematics, University of Kashan, Kashan

Abstract: Let $G$ be a hypergroup and $\mathcal{L}(G)$ be the set of all subhypergroups of $G$. In this survey article, we introduce some hypergroups $G$ from combinatorial structures and study the structure of the set $\mathcal{L}(G)$. We prove that in some cases $\mathcal{L}(G)$ has a lattice or hyperlattice structure.

Keywords and phrases: Hypergroup, hyperlattice, integer partition.

MSC: 20N20

Received: 20.01.2003

Language: English



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