ON QUASI-ORTHODOX SEMIGROUPS WITH INVERSE TRANSVERSALS

Authors
BLYTH TS SANTOS MHA
Citation
Ts. Blyth et Mha. Santos, ON QUASI-ORTHODOX SEMIGROUPS WITH INVERSE TRANSVERSALS, Proceedings of the Edinburgh Mathematical Society, 40, 1997, pp. 505-514
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the Edinburgh Mathematical Society → ACNP
ISSN journal
00130915
Volume
40
Year of publication
1997
Part
3
Pages
505 - 514
Database
ISI
SICI code
0013-0915(1997)40:<505:OQSWIT>2.0.ZU;2-W
Abstract
An inverse transversal of a regular semigroup S is an inverse subsemig roup S degrees that contains precisely one inverse of each element of S. Here we consider the case where S is quasi-orthodox. We give natura l characterisations of such semigroups and consider various properties of congruences.