21.—The Structure of certain Ordered Regular Semigroups
- 1 January 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 75 (3) , 235-257
- https://doi.org/10.1017/s0308210500017960
Abstract
In a previous publication [1] we determined the structure of some new types of ordered inverse semigroup in which the ordering need not be the natural ordering. At the moment, very little is known about ordered regular semigroups and the purpose of this paper is to generalise the structure theorems in [1] to corresponding theorems on ordered regular semigroups. The results obtained provide an interesting bridge between the theory of semigroups and that of ordered semigroups, these theories currently having very little in common.Keywords
This publication has 1 reference indexed in Scilit:
- On orthodox semigroups and uniform and antiuniform bandsJournal of Algebra, 1970