Abstract
For any locally inverse semigroup S, there exists a maximal dense ideal extension of S within the class LI of all locally inverse semigroups (Pastijn and Oliveira, Citation2006, Preprint). Here we realize this maximal dense ideal extension in terms of a canonically constructed quotient of a regular Rees matrix semigroup over an inverse semigroup.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The second author was partially supported by FCT through Centro de Matemática da Universidade do Porto.
Notes
Communicated by V. Gould.