J Austral Math Soc Ser A 54 pp236--253, 1993.

Congruences on Free Monoids and Submonoids of Polycyclic Monoids

John Meakin and Mark Sapir

(Received 20 August 1990)

Abstract

We establish a one-to-one "group-like" correspondence between congruences on a free monoid X* and so-called positively self-conjugate inverse submonoids of the polycyclic monoid P(X). This enables us to translate many concepts in semigroup theory into the language of inverse semigroups.

1991 AMS Subject Classification: 20M08, 20M10

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Authors

John Meakin
Mark Sapir: Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0323, U.S.A.

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Last Modified: Mon Feb 3 9:46:12 2003