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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 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
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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.
Received: 20.01.2003
Bibliographic databases:
Document Type: Article
MSC: 20N20
Language: English
Citation: G. A. Moghani, A. R. Ashrafi, “On some Hypergroups and their Hyperlattice Structures”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 3, 15–24
Citation in format AMSBIB
\Bibitem{MogAsh03}
\by G.~A.~Moghani, A.~R.~Ashrafi
\paper On some Hypergroups and their Hyperlattice Structures
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 3
\pages 15--24
\mathnet{http://mi.mathnet.ru/basm203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2053643}
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