# Publishing house / Banach Center Publications / All volumes

## On the existence of prime ideals in Boolean algebras

### Volume 46 / 1999

Banach Center Publications 46 (1999), 119-123 DOI: 10.4064/-46-1-119-123

#### Abstract

Rasiowa and Sikorski [5] showed that in any Boolean algebra there is an ultrafilter preserving countably many given infima. In [3] we proved an extension of this fact and gave some applications. Here, besides further remarks, we present some of these results in a more general setting.

• Jörg Flum

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