Abstract
For an arbitrary set X (finite or infinite), denote by T(X) the semigroup of full transformations on X. For α∈T(X), let C(α)={β∈T(X):αβ=βα} be the centralizer of α in T(X). The aim of this paper is to characterize the elements of C(α). The characterization is obtained by decomposing α as a join of connected partial transformations on X and analyzing the homomorphisms of the directed graphs representing the connected transformations. The paper closes with a number of open problems and suggestions of future investigations.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
