1-Hypergroups of Small Sizes

Mario De Salvo, Dario Fasino, Domenico Freni and Giovanni Lo Faro
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Mario De Salvo: Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, 98122 Messina, Italy
Dario Fasino: Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, 33100 Udine, Italy
Domenico Freni: Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università di Udine, 33100 Udine, Italy
Giovanni Lo Faro: Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, 98122 Messina, Italy

Mathematics, 2021, vol. 9, issue 2, 1-17

Abstract: In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups. Furthermore, we classify the 1-hypergroups of size 5 and 6 based on the partition induced by the fundamental relation β . Many of these hypergroups can be obtained using the aforesaid hypergroup construction.

Keywords: hypergroups; complete hypergroups; fundamental relations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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