21.—The Structure of certain Ordered Regular Semigroups

Author:

Blyth T. S.

Abstract

SYNOPSISIn 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. Dubreil-Jacotin inverse semigroups;Blyth;Proc. Roy. Soc. Edinburgh. Sect. A.,1974

2. Groups, semilattices and inverse semigroups II;McAlister;Trans. Amer. Math. Soc.,1974

3. On orthodox semigroups and uniform and antiuniform bands

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