ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS.

Autor: GHAZAVI, S. H., MIRVAKILI, S.
Předmět:
Zdroj: Journal of Mahani Mathematical Research Center; Winter/Spring2022, Vol. 11 Issue 1, p145-158, 14p
Abstrakt: EL-hypergroups were defined by Chvalina 1995. Till now, no exact statistics of EL-hypergroups have been done. Moreover, there is no classification of EL-hypergroups and EL²-hypergroups even over small sets. In this paper we classify all EL-(semi)hypergroups over sets with two elements obtained from quasi ordered semigroups. Also, we characterize all quasi ordered Hv-group and then we enumerate the number of EL²-Hv-hypergroups and EL²-hypergroups of order 2. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index