Maximum idempotents in naturally ordered regular semigroups

Author:

McAlister D. B.,McFadden R.

Abstract

We shall denote by ω the natural partial order on the idempotents E = E(S) of a regular semigroup S, so that in E,A partially ordered semigroup S(≦) is called naturally partially ordered [9] if the imposed partial order ≦ extends ω in the sense thatNo assumption is made about the reverse implication.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On a class of Dubreil-Jacotin regular semigroups and a construction of Yamada

2. Structure of regular semigroups I;Nambooripad;Mem. Amer. Math. Soc,1979

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

4. A generalization of the rees theorem to a class of regular semigroups

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