JP Journal of Algebra, Number Theory and Applications
Volume 45, Issue 1, Pages 1 - 11
(January 2020) http://dx.doi.org/10.17654/NT045010001 |
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MORE ON THE NON-COMMUTATIVE EPIGROUPS WHICH ARE NOT QUASI-COMMUTATIVE
P. Soltani, A. Tehranian, H. Doostie and M. R. Sorouhesh
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Abstract: A semigroup S is called an epigroup if some power of each element lies in a subgroup of S. The aim of this paper is to give a necessary condition for an epigroup to be quasi-commutative. Moreover, we present and study an infinite class of finite non-commutative epigroups which are not quasi-commutative. |
Keywords and phrases: semigroup, epigroup, quasi-commutativity.
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