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geometric hypergroups
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نویسنده
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al tahan m. ,davvaz b.
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منبع
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journal of algebraic systems - 2022 - دوره : 9 - شماره : 2 - صفحه:241 -257
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چکیده
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The aim of this paper is to extend the notion of geometric groups to geometric hypergroups and to investigate the interaction between algebraic and geometric properties of hypergroups. in this regard, we first define a metric structure on hypergroups via word metric and present some examples on it by using generalized cayley graphs over hypergroups. then we study a large scale of geometry with respect to the structure of hypergroups and we prove that metric spaces of finitely generated hypergroups coming from different generating sets are quasi-isometric.
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کلیدواژه
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cayley graph ,hypergroup ,gch-graph ,geometric hypergroup ,bilipschitz equivalence ,quasi-isometry
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آدرس
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lebanese international university, department of mathematics, lebanon, yazd university, department of mathematics, iran
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پست الکترونیکی
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davvaz@yazd.ac.ir
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Authors
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