Title of article :
ON ENUMERATION AND CLASSIFICATION OF EL²-SEMIHYPERGROUPS AND EL²-Hv-SEMIHYPERGROUPS WITH 2 ELEMENTS
Author/Authors :
Ghazavi ، S. H. Department of Mathematics - Shahid Ashrafi Esfahani University , Mirvakili ، S. Department of Mathematics - Payame Noor University , Dehghanizadeh ، M. A. Department of Mathematics - Technical and Vocational University (TVU)
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 , EL , hypergroups , Hv , group , quasi order relation , partially order relation
Journal title :
Journal of Algebra and Related Topics
Journal title :
Journal of Algebra and Related Topics
