Skip to main content
Log in

To the Spectral Theory of Partially Ordered Sets. II

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We characterize the topological spaces that are homeomorphic to the spectra of posets with certain properties.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ershov Yu. L. and Schwidefsky M. V., “To the spectral theory of partially ordered sets,” Sib. Math. J., vol. 60, no. 3, 450–463 (2019).

    Article  MathSciNet  Google Scholar 

  2. Ershov Yu. L., “The spectral theory of semitopological semilattices,” Sib. Math. J., vol. 44, no. 5, 797–806 (2003).

    Article  MathSciNet  Google Scholar 

  3. Ershov Yu. L., “The spectral theory of semitopological semilattices. II,” Izv. Ural. Gos. Univ. Mat. Mekh., vol. 36, no. 7, 107–118 (2005).

    MathSciNet  MATH  Google Scholar 

  4. Ershov Yu. L., “Spectra of rings and lattices,” Sib. Math. J., vol. 46, no. 2, 283–292 (2005).

    Article  MathSciNet  Google Scholar 

  5. Ershov Yu. L., Topology for Discrete Mathematics [Russian], SB RAS Publishing House, Novosibirsk (2020).

    Google Scholar 

  6. Grätzer G., General Lattice Theory, Akademie-Verlag, Berlin (1978).

    Book  Google Scholar 

  7. Grätzer G., Lattice Theory: Foundation, Birkhäuser/Springer Basel AG, Basel (2011).

    Book  Google Scholar 

  8. Batueva C. and Semenova M., “Ideals in distributive posets,” Cent. Eur. J. Math., vol. 9, no. 6, 1380–1388 (2011).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Yu. L. Ershov or M. V. Schwidefsky.

Additional information

Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 572–586.

The authors were supported by the Basic Scientific Research of the Siberian Branch of the Russian Academy of Sciences I.1.1 (Project 0314-2019-0003).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ershov, Y.L., Schwidefsky, M.V. To the Spectral Theory of Partially Ordered Sets. II. Sib Math J 61, 453–462 (2020). https://doi.org/10.1134/S0037446620030064

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446620030064

Keywords

Navigation