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Algebra i logika, 2013, Volume 52, Number 2, Pages 155–171 (Mi al580)  
This article is cited in 3 scientific papers (total in 3 papers)

Topologizability of countable equationally Noetherian algebras

M. V. Kotov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Full-text PDF (222 kB) Citations (3)
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Abstract: It is proved that an arbitrary equationally Noetherian countable algebra A=⟨A,LA⟩ in a countable language is topologizable. In addition, it is shown that certain of the known statements on topologizability follow as a consequence.
Keywords: equationally Noetherian algebra, topologizable algebra.
Received: 05.03.2012
Revised: 28.01.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 2, Pages 105–115
DOI: https://doi.org/10.1007/s10469-013-9226-9
Bibliographic databases:
Document Type: Article
UDC: 512.57+515.2
Language: Russian
Citation: M. V. Kotov, “Topologizability of countable equationally Noetherian algebras”, Algebra Logika, 52:2 (2013), 155–171; Algebra and Logic, 52:2 (2013), 105–115
Citation in format AMSBIB
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\paper Topologizability of countable equationally Noetherian algebras
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\pages 155--171
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\pages 105--115
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Linking options:
  • https://www.mathnet.ru/eng/al580
  • https://www.mathnet.ru/eng/al/v52/i2/p155
    • This publication is cited in the following 3 articles:
    1. Taras Banakh, Serhii Bardyla, “Absolutely closed semigroups”, Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat., 118:1 (2024)  crossref
    2. Taras Banakh, Serhii Bardyla, “Categorically closed countable semigroups”, Forum Mathematicum, 2023  crossref
    3. J. Dutka, A. Ivanov, “Topologizable structures and Zariski topology”, Algebr. Universalis, 79:3 (2018), UNSP 72  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:300
    Full-text PDF :124
    References:57
    First page:8
     
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