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Inverse semigroups with idempotents dually well-ordered

Part of: Semigroups Set theory

Published online by Cambridge University Press:  09 April 2009

A. Clement  and
F. Pastijn
A. Clement
Affiliation:
Dienst Hogere MeetkundeRijksuniversiteit GentKrijgslaan 281B-9000 Gent, Belgium
F. Pastijn
Affiliation:
Dienst Hogere MeetkundeRijksuniversiteit GentKrijgslaan 281B-9000 Gent, Belgium
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Abstract

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All inverse semigroups with idempotents dually well-ordered may be constructed inductively. The techniques involved are the constructions of ordinal sums, direct limits and Bruck-Reilly extensions.

MSC classification

Secondary: 20M10: General structure theory 03E10: Ordinal and cardinal numbers
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 3 , December 1983 , pp. 373 - 385
Copyright
Copyright © Australian Mathematical Society 1983

References

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