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U.W. Bangor - School of Informatics - Mathematics Preprints 1992

Semigroup and Automata Theory

92.07 : LAWSON, M.V.

The geometric theory of inverse semigroups
I: E-unitary inverse semigroups


We show how the correspondence between inverse semigroups and inductive groupoids ( a class of ordered groupoids) leads to a reinterpretation of McAlister's P-Theorem as a function extension theorem. This result can only be expressed, in general, by working within a larger category: namely that of functorially ordered groupoids. The consequences of this approach for the theory of E-unitary covers of inverse semigroups and its generalisations are worked out in subsequent papers.

Published in:

J. Pure Appl. Algebra, 67 (1990) 151-177.

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