On the Construction of Molaei’s Generalized Hypergroups
Science Journal of Applied Mathematics and Statistics
Volume 5, Issue 3, June 2017, Pages: 106-109
Received: Feb. 17, 2017; Accepted: Apr. 20, 2017; Published: Jun. 1, 2017
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Author
Nosratollah Shajareh Poursalavati, Department of Pure Mathematics, Faculty of Mathematics and Computer, Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
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Abstract
The purpose of this paper is making a construction and generalization of Molaei’s generalized groups by using construction of the Rees matrix semigroup over a polygroup H and a matrix with entries in H. We call it “Molaei’s generalized hypergroups” and we give some examples.
Keywords
Hypergroup, Polygroup, Molaei’s Generalized Hypergroup
To cite this article
Nosratollah Shajareh Poursalavati, On the Construction of Molaei’s Generalized Hypergroups, Science Journal of Applied Mathematics and Statistics. Vol. 5, No. 3, 2017, pp. 106-109. doi: 10.11648/j.sjams.20170503.12
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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