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A class of projective Stone algebras

Published online by Cambridge University Press:  17 April 2009

Ivo Düntsch
Ivo Düntsch
Affiliation:
Freie Universität, FB 10, Garystr. 21, 1000 Berlin 33, West Germany.
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Abstract

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We prove that a regular double Stone algebra is protective in the category of Stone algebras if and only if its centre is a projective Boolean algebra and its dense set is countably generated as a filter. It follows that every countable regular double Stone algebra is projective as a Stone algebra.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 24 , Issue 1 , August 1981 , pp. 133 - 147
Copyright
Copyright © Australian Mathematical Society 1981

References

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