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Algebra i logika, 2021, Volume 60, Number 4, Pages 400–424
DOI: https://doi.org/10.33048/alglog.2021.60.402 (Mi al2674) 		 
This article is cited in 7 scientific papers (total in 7 papers)

$T_1$-separable numberings of subdirectly indecomposable algebras

N. Kh. Kasymova, A. S. Morozovb, I. A. Khodzhamuratovaa

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (277 kB) Citations (7)
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DOI: https://doi.org/10.33048/alglog.2021.60.402
Abstract: We prove the existence of a natural subclass of subdirectly indecomposable algebras all of whose Hausdorff numberings are negative. We also construct a $T_1$-separable nonnegative subdirectly indecomposable algebra with Artin congruence lattice.
Keywords: subdirect indecomposability, Artinianness, Noetherianness, computable and enumerable topologies, topological numbered algebras, translational precompleteness, positivity, negativity, effective separability.
Funding agency Grant number
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0003
Russian Foundation for Basic Research 20-01-00300
A. S. Morozov is supported by SB RAS Fundamental Research Program I.1.1 (project No. 0314-2019-0003) and by RFBR (project No. 20-01-00300).
Received: 16.12.2020
Revised: 26.11.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 4, Pages 263–278
DOI: https://doi.org/10.1007/s10469-021-09651-x
Bibliographic databases:
Document Type: Article
UDC: 510.5
Language: Russian
Citation: N. Kh. Kasymov, A. S. Morozov, I. A. Khodzhamuratova, “$T_1$-separable numberings of subdirectly indecomposable algebras”, Algebra Logika, 60:4 (2021), 400–424; Algebra and Logic, 60:4 (2021), 263–278
Citation in format AMSBIB
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\paper $T_1$-separable numberings of subdirectly indecomposable algebras
\jour Algebra Logika
\yr 2021
\vol 60
\issue 4
\pages 400--424
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\crossref{https://doi.org/10.33048/alglog.2021.60.402}
\transl
\jour Algebra and Logic
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\issue 4
\pages 263--278
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и логика Algebra and Logic
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