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Matematicheskie Zametki, 2009, Volume 85, Issue 6, Pages 803–816
DOI: https://doi.org/10.4213/mzm4119 (Mi mzm4119) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Extension of Congruences on Semirings of Continuous Functions

E. M. Vechtomov, D. V. Chuprakov

Vyatka State University of Humanities
Full-text PDF (483 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm4119
Abstract: The lattices of congruences of semirings and semifields of continuous nonnegative functions over an arbitrary topological space are studied. It is proved that congruences of the semifield of continuous positive functions can be extended to congruences of the semiring of continuous nonnegative functions.
Keywords: semiring of continuous nonnegative functions, semifield of continuous positive functions, idempotent semiring (semifield), lattice of congruences.
Received: 02.10.2007
Revised: 19.11.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 6, Pages 767–779
DOI: https://doi.org/10.1134/S0001434609050198
Bibliographic databases:
UDC: 512.556
Language: Russian
Citation: E. M. Vechtomov, D. V. Chuprakov, “Extension of Congruences on Semirings of Continuous Functions”, Mat. Zametki, 85:6 (2009), 803–816; Math. Notes, 85:6 (2009), 767–779
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm4119
  • https://www.mathnet.ru/eng/mzm/v85/i6/p803
    • This publication is cited in the following 2 articles:
    1. E. M. Vechtomov, A. V. Mikhalev, V. V. Sidorov, “Semirings of continuous functions”, J. Math. Sci., 237:2 (2019), 191–244  mathnet  crossref
    2. Vechtomov E.M., “Polukoltsa i puchki. Obzor rezultatov issledovanii za 2008–2012 gg.”, Vestnik Vyatskogo gosudarstvennogo gumanitarnogo universiteta, 2013, no. 1, 185–193  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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