Perfect Dubreil-Jacotin semigroups

Author:

Blyth T. S.

Abstract

SynopsisWe determine a set of conditions that are necessary and sufficient for an ordered regular semigroup to be a perfect Dubreil-Jacotin semigroup; and a necessary and sufficient condition for a perfect Dubreil-Jacotin semigroup to be orthodox.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

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

2. 21.—The Structure of certain Ordered Regular Semigroups

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

4. 5 McAliste D. B. : and Blyth T. S. Split orthodox semigroups. J. Algebra, to appear.

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1. F-regular semigroups;Journal of Algebra;2004-04

2. On associate subgroups of regular semigroups;Communications in Algebra;1997-01

3. Perfect elements in Dubreil-Jacotin regular semigroups;Semigroup Forum;1992-12

4. Principally ordered regular semigroups;Glasgow Mathematical Journal;1990-09

5. Residuated mappings;Order;1984

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