On enumeration and classification of EL^۲-semihypergroups and EL^۲-H_v-semihypergroups with ۲ elements
Publish place: The Journal of Algebra and Related Topics، Vol: 11، Issue: 2
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JART-11-2_006
تاریخ نمایه سازی: 21 تیر 1403
Abstract:
EL-hypergroups were defined by Chvalina ۱۹۹۵. Tillnow, no exact statistics of EL-hypergroups have been done.\\ Moreover, there is no classification of EL-hypergroups and EL^۲-hypergroups even over small sets.In this paper, we classify all EL-(semi)hypergroups over sets withtwo elements obtained from quasi ordered semigroups. Also, we characterize all quasi ordered H_v-group and then we enumerate the number of EL^۲-H_v-hypergroups and EL^۲-hypergroups of order ۲.
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Authors
S. Mirvakili
Department of Mathematics, Payame Noor University, P.O.BOX ۱۹۳۹۵-۳۶۹۷ Tehran, Iran,
S. H. Ghazavi
Department of Mathematics, Shahid Ashrafi Esfahani University, Isfahan, Iran
M. A. Dehghanizadeh
Technical and Vocational University(TVU), Tehran, Iran