| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4661360 | Topology and its Applications | 2007 | 7 Pages |
Abstract
The congruence extension property (CEP) of semigroups has been extensively studied by a number of authors. We call a compact semigroup S an Ω-compact semigroup if the set of all regular elements of S forms an ideal of S. In this note, we characterize the Ω-compact semigroup having (CEP). Our result extends a recent result obtained by X.J. Guo on the congruence extension property of strong Ω-compact semigroups which is a semigroup containing precisely one regular D-class.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
