Title of article :
ON ENUMERATION OF EL-HYPERSTRUCTURES WITH 2 ELEMENTS
Author/Authors :
Mirvakili ، Saeed Department of Mathematics - Payame Noor University , Ghazavi ، Hossein Department of Mathematics - University of Shahid Ashrafi Esfahani
Abstract :
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.
Keywords :
Ends lemma , quasi order relation , partially order relation
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center
