International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 8, Pages 76951, 9 p.
doi:10.1155/IJMMS/2006/76951
Minimal conditions on Clifford semigroup congruences.
M.El-Ghali M. Abdallah
, L.N. Gab-Alla
and Sayed K.M. Elagan
Department of Mathematics, Faculty of Science, Menoufiya University, Shebin El-kom 32511, Egypt
Abstract
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 [E(S),Se,ϕe,f] with identities in which all ϕe,f are epimorphisms (called q partial groups). Formulation of this result in terms of q congruences is also obtained.