Journal article
On embeddability of idempotent separating extensions of inverse semigroups
Publication Details
Authors: | Billhardt, B.; Szittyai, I. |
Publication year: | 2000 |
Journal: | Semigroup Forum |
Pages range : | 26-31 |
Volume number: | 61 |
ISSN: | 0037-1912 |
Abstract
Let S be an inverse semigroup and rho an idempotent separating congruence on S. It is proved that S can be embedded into a X-semidirect product of a group F by Sip where F belongs to the variety generated by the idempotent classes of rho.
Let S be an inverse semigroup and rho an idempotent separating congruence on S. It is proved that S can be embedded into a X-semidirect product of a group F by Sip where F belongs to the variety generated by the idempotent classes of rho.