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on enumeration and classification ofel²-semihypergroups and el²-hv-semihypergroups with 2 elements
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نویسنده
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ghazavi s. h. ,mirvakili s. ,dehghanizadeh m. a.
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منبع
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journal of algebra and related topics - 2023 - دوره : 11 - شماره : 2 - صفحه:85 -97
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چکیده
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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.
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کلیدواژه
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ends lemma ,el-hypergroups ,hv-group ,quasi order relation ,partially order relation
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آدرس
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shahid ashrafi esfahani university, department of mathematics, iran, payame noor university, department of mathematics, iran, technical and vocational university (tvu), department of mathematics, iran
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پست الکترونیکی
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mdehghanizadeh@tvu.ac.ir
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Authors
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