IIARD International Institute of Academic Research and Development

INTERNATIONAL JOURNAL OF APPLIED SCIENCES AND MATHEMATICAL THEORY (IJASMT )

E- ISSN 2489-009X
P- ISSN 2695-1908
VOL. 10 NO. 5 2024
DOI: 10.56201/ijasmt.v10.no5.2024.pg26.40

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Some Concepts of Semigroup in Group

Udoaka O. G. and Ekwomchi Hannah

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Abstract

Shum [9] in his work on systems of semigroups and its application in constructing generalized cryptogroups introduced the concepts of Green ???????? on ? ? ????????? semigroups by using the generalized strong semilattice of semigroups, he also used a generalization of a well-known result of fountain on super-abundant semigroup to show that ? ? ???????????? is regular ? ? ? ?????????? if and only if it is an ?? ? ??????? ??????????? of completely ? ? ??????? semigroups. In this paper further explanation were made and proves of some lemmas, additional characteristics of the ? ? ????????? semigroup is proved. Lastly the concepts of ? ? ? ???????? semigroup in group with examples is given.

keywords:

Green ?relations, ?

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