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A NOTE ON THE HOWSON PROPERTY IN INVERSE SEMIGROUPS

Part of: Semigroups

Published online by Cambridge University Press:  16 August 2016

PETER R. JONES
PETER R. JONES*
Affiliation:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI 53201, USA email peter.jones@mu.edu
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Abstract

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An algebra has the Howson property if the intersection of any two finitely generated subalgebras is again finitely generated. A simple necessary and sufficient condition is given for the Howson property to hold on an inverse semigroup with finitely many idempotents. In addition, it is shown that any monogenic inverse semigroup has the Howson property.

Keywords

Howson propertyE-unitarymonogenic

MSC classification

Primary: 20M18: Inverse semigroups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 457 - 463
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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