An application of \(\Gamma \)-semigroups techniques to the Green’s Theorem
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The concept of a \(\Gamma \)-semigroup has been introduced by Mridul Kanti Sen in the Int. Symp., New Delhi, 1981. It is well known that the Green’s relations play an essential role in studying the structure of semigroups. In the present paper we deal with an application of \(\Gamma \)-semigroups techniques to the Green’s Theorem in an attempt to show the way we pass from semigroups to \(\Gamma \)-semigroups.
Keywords\(\Gamma \)-semigroup Green’s Lemma Green’s Theorem
Mathematics Subject Classification20M99
- 3.Clifford, A.H., Preston, G.B.: The Algebraic Theory of Semigroups, vol. I. Mathematical Surveys, No. 7 American Mathematical Society, Providence, R.I. (1961)Google Scholar
- 9.Sen, M.K.: On \(\Gamma \)-semigroup. In: Algebra and its Applications, Int. Symp. New Delhi, 1981. Lecture Notes in Pure and Appl. Math. vol. 91, pp. 301–308. Dekker, New York (1984)Google Scholar