ISSN: 1304-7191 | E-ISSN: 1304-7205
On crossed polysquares and fundamental relations
1Department of Mathematics, Yazd University, Yazd-IRAN
2Dep. of Mathematics, American University of the Middle East, KUWAIT
Sigma J Eng Nat Sci 2018; 9(): 1-16
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In this paper, we introduce the notion of crossed polysquare of polygroups and we give some of its properties. Our results extend the classical results of crossed squares to crossed polysquares. One of the main tools in the study to polygroups is the fundamental relations. These relations connect polygroups to groups, and on the other hand, introduce new important classes. So, we consider a crossed polysquare and by using the concept of fundamental relation, we obtain a crossed square.