On automorphisms of a class of normal transformation semigroups

نویسندگان

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.

doi
10.22034/as.2024.20358.1658
چکیده

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, has an inner automorphism property (i.a.p).