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A NOTE ON THE HOWSON PROPERTY IN INVERSE SEMIGROUPS
Published online by Cambridge University Press: 16 August 2016
Abstract
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.
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- 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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