Siberian Mathematical Journal

, Volume 44, Issue 5, pp 797–806 | Cite as

The Spectral Theory of Semitopological Semilattices

  • Yu. L. Ershov


We characterize the spaces SpecS of prime closed ideals of an arbitrary semitopological semilattice S. We give an abstract description for the natural homomorphism of such a semilattice S into the semilattice <T*,∪> of the topology T* of the space SpecS

semilattice semitopological semilattice prime ideal prime filter distributive semilattice 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Yu. L. Ershov
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirsk

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