On automorphisms of a class of normal transformation semigroups

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Center for Distance and Online Education, Chandigarh University, Mohali, Punjab, India.

2 Department of Mathematics, Central University of Kashmir, Ganderbal 191201, India.

Abstract

In this paper, we are interested in the (as yet) unsolved problem of determining all subsemigroups of $\mathcal{T}(X)$ in which every automorphism is inner. We show that the semigroup of full transformations with restriction on a fixed set is bijective, {\it{has an inner automorphism property}} \textbf{(i.a.p)}.

Keywords

References

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Algebraic Structures and Their Applications

Articles in Press, Corrected Proof
Available Online from 19 November 2024

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