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Algebra i logika, 2001, Volume 40, Number 6, Pages 675–684 (Mi al241)  

This article is cited in 1 scientific paper (total in 1 paper)

Quasivarieties and $q$-Compact Classes of Abelian Groups

V. N. Remeslennikov, N. S. Romanovskiia

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (975 kB) Citations (1)
Abstract: For the purposes of algebraic geometry, we need to consider a category of Abelian $A$-groups, that is, those Abelian groups that contain as a subgroup the distinguished copy of an Abelian group $A$. Namely, we deal with the problem of describing $q$-compact classes within a given class of algebraic systems. This problem is solved first for classes of Abelian groups (without constants), and then for the case where a class of $A$-groups consists of the group $A$ itself. We also succeed in obtaining an adequate description of a system of axioms for $A-\operatorname{qvar}(B)$.
Keywords: Abelian group, $q$-compact class, quasivariety.
Received: 20.07.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 6, Pages 378–383
DOI: https://doi.org/10.1023/A:1013751709052
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: V. N. Remeslennikov, N. S. Romanovskii, “Quasivarieties and $q$-Compact Classes of Abelian Groups”, Algebra Logika, 40:6 (2001), 675–684; Algebra and Logic, 40:6 (2001), 378–383
Citation in format AMSBIB
\Bibitem{RemRom01}
\by V.~N.~Remeslennikov, N.~S.~Romanovskii
\paper Quasivarieties and $q$-Compact Classes of Abelian Groups
\jour Algebra Logika
\yr 2001
\vol 40
\issue 6
\pages 675--684
\mathnet{http://mi.mathnet.ru/al241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918524}
\zmath{https://zbmath.org/?q=an:1011.20033}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 6
\pages 378--383
\crossref{https://doi.org/10.1023/A:1013751709052}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549085953}
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  • https://www.mathnet.ru/eng/al241
  • https://www.mathnet.ru/eng/al/v40/i6/p675
  • This publication is cited in the following 1 articles:
    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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