Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

Set products in transformation semigroups

Peter M. Higginsa1, John M. Howiea2 and Nik Ruškuca3

a1 Department of Mathematics, University of Essex, Colchester CO4 3SQ, UK (peteh@essex.ac.uk)

a2 Mathematical Institute, University of St Andrews, St Andrews, Fife KY16 9SS, UK (jmh@st-and.ac.uk;

a3 Mathematical Institute, University of St Andrews, St Andrews, Fife KY16 9SS, UK nr1@st-and.ac.uk

Abstract

We describe products of arbitrary L-, R- and H-classes with the set of idempotents of full transformation semigroups.

(Received May 13 2002)

(Accepted February 06 2003)