%0 Journal Article
%T Necessary and Sufficient Conditions Where One ¦£-Semigroup is a ¦£-Group
%A Sabri Sadiku
%J Journal of Modern Mathematics and Statistics
%D 2012
%I 
%R 10.3923/jmmstat.2010.44.49
%X In this study, researchers have studied the ¦£-algebraic structures and some characteristics of them. According to Sen and Saha, we defined algebraic structures: ¦£-semigroup, ¦£-regular semigroup, ¦£-idempotent semigroup, ¦£-invers semigroup and ¦£-group. Theorem 2, 3 and 4 proves the existence of ¦£-group and gives necessary and sufficient conditions where one ¦£-semigroup is a ¦£-group. Finally, theorem 5 shows necessary and sufficient conditions where one ¦£-regular semigroup is a ¦£-group. In addition, for every ¦£- algebraic structure that we mentioned before we give an original example.
%U http://www.medwellonline.net/abstract/?doi=jmmstat.2010.44.49