A decomposition of the cyclic groups of order p and p 2, where p is a prime number

Authors:
Irina Cristea;Mohammad Reza Darafsheh
Affiliations:
(Correspd. E-mail: irinacri@yahoo.co.uk (I. Cristea), darafsheh@ut.ac.ir (M.R. Darafsheh). Supported by grant number 88/2008 of the Romanian Academy) DIEA, University of Udine, via delle Scienze 2 ...;School of Mathematics, College of Science, University of Tehran, Tehran, Iran
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2010

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Abstract

The study of fuzzy subhypergroups of the complete hypergroups is an important area of research in fuzzy structure theory. Since this structure relies on a certain decomposition of a group G,in this paper we consider the cyclic groups of orders p and p 2 and prove that they have the required decomposition. Here we use some aspects of group theory to solve a problem in the fuzzy algebraic hyperstructure theory.