International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 76951, 9 pages
Minimal conditions on Clifford semigroup
Department of Mathematics, Faculty of Science, Menoufiya University, Shebin El-kom 32511, Egypt
Received 6 April 2006; Accepted 6 April 2006
Copyright © 2006 M. El-Ghali M. Abdallah et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A known result in groups concerning the inheritance of minimal
conditions on normal subgroups by subgroups with finite indexes is
extended to semilattices of groups  with identities in which all
epimorphisms (called partial groups). Formulation of this
result in terms of congruences is also obtained.