Geometric Hypergroups | ||
| Journal of Algebraic Systems | ||
| دوره 9، شماره 2، فروردین 2022، صفحه 241-257 اصل مقاله (252.55 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2021.9981.1493 | ||
| نویسندگان | ||
| M. Al Tahan1؛ B. Davvaz* 2 | ||
| 1Department of Mathematics, Lebanese International University, Bekaa, Lebanon. | ||
| 2Department of Mathematics, Yazd University, Yazd, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Cayley graph؛ hypergroup؛ geometric hypergroup | ||
| مراجع | ||
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