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Paper
Title

Geometric Hypergroups

Geometric Hypergroups
Year: 1401
COI: JR_JAS-9-2_006
Language: EnglishView: 53
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Authors

M. Al Tahan - Department of Mathematics, Lebanese International University, Bekaa, Lebanon.
B. Davvaz - Department of Mathematics, Yazd University, Yazd, Iran.

Abstract:

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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Paper COI Code

This Paper COI Code is JR_JAS-9-2_006. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1282213/

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:
Al Tahan, M. and Davvaz, B.,1401,Geometric Hypergroups,https://civilica.com/doc/1282213

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  • M. Al-Tahan and B. Davvaz, Generalized Cayley graphs over hypergroups ...
  • F. Arabpur, M. Jafarpour, M. Aminizadeh, and S. Hosková-Mayerová, On ...
  • J. A. Bondy and U. S. R. Murthy, Graph Theory ...
  • A. Cayley, On the theory of groups, Proc. London Math. ...
  • P. Corsini, Prolegomena of Hypergroup Theory, Udine, Tricesimo, Italy, Secondedition, ...
  • P. Corsini and V. Leoreanu, Applications of Hyperstructures Theory, Advancesin ...
  • B. Davvaz, Polygroup Theory and Related Systems, World Scientific PublishingCo. ...
  • B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications, InternationalAcademic ...
  • D. Heidari, M. Amooshahi and B. Davvaz, Generalized Cayley graphs ...
  • D. Heidari and B. Davvaz, Graph product of generalized Cayley ...
  • C. Loh, Geometric Group Theory: An Introduction, Springer InternationalPublishing AG, ...
  • F. Marty, Sur une generalization de la notion de groupe, ...
  • Scandinaves, Stockholm (۱۹۳۴), ۴۵–۴۹ ...
  • T. Vougiouklis, Hyperstructures and Their Representations, Hadronic Press,Inc., USA, ۱۹۹۴ ...
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