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Scholars Journal of Engineering and Technology | Volume-3 | Issue-09
Rectangular group congruences on an epigroup
Yingqin Jin
Published: Sept. 30, 2015 | 156 168
DOI: 10.36347/sjet
Pages: 732-736
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Abstract
An epigroup is a semigroup in which some power of any element lies in a sub-group of the given semigroup. The rectangular group congruences on an epigroup are investigated. A characterization of rectangular group congruences on an epigroup in terms of its rectangular group congruence pairs is given. Moreover, it is proved that the rectangular group congruence on an epigroup is uniquely determined by its kernel and hyper-trace.