1999•Banach Center PublicationsOpen access

On the existence of prime ideals in Boolean algebras

Jörg Flum

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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 resu

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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 resu

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Available 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 resu

Key concepts: Ultrafilter, Stone's representation theorem for Boolean algebras, Complete Boolean algebra, Two-element Boolean algebra, Mathematics, Free Boolean algebra, Boolean algebras canonically defined, Boolean algebra

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