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Ideals and filters

  • Paul R. Halmos
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

If f is a Boolean homomorphism, from B to A say, the kernel of f is the set of those elements in B that f maps onto 0 in A. In symbols the kernel M of f is defined by
$$ M = {f^{{ - 1}}}\left( {\left\{ 0 \right\}} \right), $$
or, equivalently, by
$$ M = \left\{ {p:f\left( p \right) = 0} \right\}. $$

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Copyright information

© Springer-Verlag New York Inc. 1974

Authors and Affiliations

  • Paul R. Halmos
    • 1
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA

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