Partial actions and an embedding theorem for inverse semigroups

We give a simple construction involving partial actions which permits us to obtain an easy proof of a weakened version of L. O’Carroll’s theorem on idempotent pure extensions of inverse semigroups.

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Bibliographic Details
Published in:Periodica mathematica Hungarica 2019-03, Vol.78 (1), p.47-57
Main Author: Khrypchenko, Mykola
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Theorems
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Description
Summary:We give a simple construction involving partial actions which permits us to obtain an easy proof of a weakened version of L. O’Carroll’s theorem on idempotent pure extensions of inverse semigroups.
ISSN:0031-5303
1588-2829
DOI:10.1007/s10998-018-0257-9