On some Hypergroups and their Hyperlattice Structures
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2023-11-21 13:29
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MOGANI, G, ASHRAFI, Ali-Reza. On some Hypergroups and their Hyperlattice Structures. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 15-24. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

On some Hypergroups and their Hyperlattice Structures

Pag. 15-24

Mogani G, Ashrafi Ali-Reza
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 15 decembrie 2013


Rezumat

Let G be a hypergroup and 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 L(G). We prove that in some cases L(G) has a lattice or hyperlattice structure.

Cuvinte-cheie
Hypergroup, hyperlattice, integer partition.