Schutzenberger Group of Non-regular D-classes
by
Mohammed Faya

In this paper we will show that for each non-regular D-class in a commutative finite semigroup, there is always a regular D-class such that the Schutzenberger group of the non-regular one is a homomorphic image of that of the regular; and with certain condition they become isomorphic. Then, we generalized this result for what we called a R-semicommutative (L-) semigroups (a semigroup satisfying that x*y*x=x^2*y).

Date received: April 21, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caec-11.