Abstract
We generalise the notion of acts over ternary semigroups to the Γ-TS-acts for a ternary Γ-semigroup T. Certain intrinsic notions of Γ-TS-acts are studied.
Highlights
Acts over semi group T, namely T-act, appeared and were used in a variety of applications such as algebraic automata theory, mathematical linguistics. We here generalize this notion to the Γ-TS
This type of ternary structures and their generalizations, the so called Γ-TS-act rise certain hopes in view of their possible applications in Organic Chemistry. the well- known generalization of ternary semi group T is ternary γ-semi group
Theorem 4.7: Let Ai TS A,i be in-decomposable TS-sub-acts of a -T-act TS A such as Ai. i I
Summary
Acts over semi group T, namely T-act, appeared and were used in a variety of applications such as algebraic automata theory, mathematical linguistics. We here generalize this notion to the Γ-TS-. Acts for a ternary Γ-semi group T. K.1, investigated on isomorphism theorems for gamma semi groups. J. M.2, studied about Automata and Languages. Z.3, investigated and studied about gamma modules with gamma rings of gamma endomorphism. Introduced the concept of ternary Γ-semi groups and they characterized the ternary Γ-semigroups
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