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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 1021–1032 (Mi smj1226)  
This article is cited in 5 scientific papers (total in 5 papers)

The spectral theory of semitopological semilattices

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (240 kB) Citations (5)
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Abstract: We characterize the spaces $\mathbf{Spec}\,\mathbb{S}$ of prime closed ideals of an arbitrary semitopological semilattice $\mathbb{S}$. We give an abstract description for the natural homomorphism of such a semilattice $\mathbb{S}$ into the semilattice $\langle T_*,U\rangle$ of the topology $T_*$ of the space $\mathbf{Spec}\,\mathbb{S}$.
Keywords: semilattice, semitopological semilattice, prime ideal, prime filter, distributive semilattice.
Received: 09.07.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 797–806
DOI: https://doi.org/10.1023/A:1026014718044
Bibliographic databases:
UDC: 515.125
Language: Russian
Citation: Yu. L. Ershov, “The spectral theory of semitopological semilattices”, Sibirsk. Mat. Zh., 44:5 (2003), 1021–1032; Siberian Math. J., 44:5 (2003), 797–806
Citation in format AMSBIB
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\jour Siberian Math. J.
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\vol 44
\issue 5
\pages 797--806
\crossref{https://doi.org/10.1023/A:1026014718044}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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