On enumeration of $EL$-hyperstructures with $2$ elements

Author(s):

Saeed Mirvakili * , Sayed Hossein Ghazavi

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:

ELEL-hypergroups  were defined by Chvalina 1995. Till now, no exact statistics of ELEL-hypergroups have been done. Moreover, there is no classification of ELEL-hypergroups and EL2EL2-hypergroups even over small sets. In this paper we classify all ELEL-(semi)hypergroups over sets with two elements obtained from quasi ordered semigroups. Also, we characterize all quasi ordered HvHv-group and   then we enumerate the number of EL2EL2-HvHv-hypergroups and EL2EL2-hypergroups of order 22.

Keywords:

Ends lemma , $EL$-hypergroups , $H , v$-group , quasi order relation , partially order relation

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:11 Issue: 1, Winter and Spring 2022
Pages:
145 to 158
https://www.magiran.com/p2431892