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The Spectral Theory of Semitopological Semilattices

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Abstract

We characterize the spaces Spec S 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 Spec S

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    Yu. L. Ershov

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  1. Yu. L. Ershov
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Ershov, Y.L. The Spectral Theory of Semitopological Semilattices. Siberian Mathematical Journal 44, 797–806 (2003). https://doi.org/10.1023/A:1026014718044

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  • DOI: https://doi.org/10.1023/A:1026014718044

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