On geometric polygroups
Author:
Arabpur F.1, Jafarpour M.1, Aminizadeh M.1, Hoskova-Mayerova S.2
Affiliation:
1. Mathematics Department , Vali-e-Asr University of Rafsanjan , Rafsanjan , Iran 2. Department of Mathematics and Physics , University of Defence in Brno Kounicova 65 , 662 10, Brno , Czech Republic .
Abstract
Abstract
In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction. We show that gCayley graphs of a polygroup by two different generators are quasi-isometric. Finally, we express a connection between finitely generated polygroups and geodesic metric spaces.
Publisher
Walter de Gruyter GmbH
Reference36 articles.
1. [1] Abbasizadeh, N., Cristea, I., Davvaz, B., Zhan, J. Subpolygroups related to a fuzzy topology, Journal of Multiple-Valued Logic and Soft Computing 31(1-2), 155–173, 2018. 2. [2] Abbasizadeh, N., Davvaz, B., Leoreanu-Fotea, V. Studies on fuzzy topological polygroups, Journal of Intelligent and Fuzzy Systems, 32 (1), 1101–1110, 2017, doi: 10.3233/JIFS-16244.10.3233/JIFS-16244 3. [3] Aghabozorgi, H., Davvaz, B., Jafarpour, M. Solvable Polygroups and Derived Subpolygroups, Communications in Algebra, 41 (8), 3098–3107, 2013, doi: 10.1080/00927872.2012.66100610.1080/00927872.2012.661006 4. [4] Ameri, R., Hoskova-Mayerova, S., Fuzzy Continuous Polygroups, In: Aplimat - 15th Conference on Applied Mathematics 2016 Proceedings. Bratislava: Vydavatelstvo STU - Slovak University of Technoology in Bratislava, 13–19, 2016. 5. [5] Ameri, R., Aivazi, M., Hoskova-Mayerova, S. Superring of polynomials over a hyperring, Mathematics 2019, 7, 902; doi:10.3390/math7100902.10.3390/math7100902
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