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Studia Logica

, Volume 54, Issue 2, pp 139–147 | Cite as

Freely generated filters in free Boolean algebras

  • Joanna Grygiel
Article
  • 37 Downloads

Abstract

In this paper we will prove that ifF is a filter of a free Boolean algebra such that the minimal cardinality of the set of generators ofF is an uncountable regular cardinal or a singular cardinal with uncountable cofinality thenF is freely generated.

Keywords

Mathematical Logic Boolean Algebra Computational Linguistic Minimal Cardinality Regular Cardinal 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • Joanna Grygiel
    • 1
  1. 1.Institute of MathematicsPedagogical CollegeCzestochowaPoland

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