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On Gamma Acts over Gamma Semigroups

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
For a semigroup S, actions of S on non-empty sets, namely S-acts, are of interest to consider for their applications in many branches of science. The well known generalization of a semigroup is the r-semigroup. The notion of a T-act over a r-semigroup is a generalization of actions over semigroups. In this paper, certain intrinsic and basic properties of T-acts including cyclic, indecomposable and free are studied as well. Among other results, it is shown that a T-act is free only if |T| = 1.
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REFERENCES

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