Flows on Regular Semigroups |
| |
| Authors: | N. D. Gilbert |
| |
| Affiliation: | (1) Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, Scotland, UK |
| |
| Abstract: | We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid – a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup. |
| |
| Keywords: | semigroup groupoid flow regular |
| 本文献已被 SpringerLink 等数据库收录！ |
|
