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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 516–522
DOI: https://doi.org/10.33048/semi.2019.16.033
(Mi semr1075)
 

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On the ωω-independence of quasivarieties of nilpotence groups

A. I. Budkin

Altai State University, 61, Lenina ave., Barnaul, 656049, Russia
Full-text PDF (144 kB) Citations (3)
References:
Abstract: We prove that there exists a set RR of quasivarieties of nilpotent groups of class two any quasivariety from RR does not have an independent basis of quasi-identities to the class N2N2 of 22-nilpotent groups and has an ωω-independent basis of quasi-identities to N2N2. The intersection of all quasivarieties in RR has an independent basis of quasi-identities to N2N2. The set of such sets RR is continual.
Keywords: nilpotent group, quasivariety, ωω-independence.
Received April 8, 2018, published April 16, 2019
Bibliographic databases:
Document Type: Article
UDC: 512.5
MSC: 20E10
Language: Russian
Citation: A. I. Budkin, “On the ωω-independence of quasivarieties of nilpotence groups”, Sib. Èlektron. Mat. Izv., 16 (2019), 516–522
Citation in format AMSBIB
\Bibitem{Bud19}
\by A.~I.~Budkin
\paper On the $\omega $-independence of quasivarieties of nilpotence groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 516--522
\mathnet{http://mi.mathnet.ru/semr1075}
\crossref{https://doi.org/10.33048/semi.2019.16.033}
Linking options:
  • https://www.mathnet.ru/eng/semr1075
  • https://www.mathnet.ru/eng/semr/v16/p516
  • This publication is cited in the following 3 articles:
    1. A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. IV. Nonstandard quasivarieties”, Siberian Math. J., 62:5 (2021), 850–858  mathnet  crossref  crossref  isi  elib
    2. A. V. Kravchenko, A. M. Nurakunov, M. V. Schwidefsky, “Structure of quasivariety lattices. III. Finitely partitionable bases”, Algebra and Logic, 59:3 (2020), 222–229  mathnet  crossref  crossref  isi
    3. M. V. Schwidefsky, “On sufficient conditions for $Q$-universality”, Sib. elektron. matem. izv., 17 (2020), 1043–1051  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:388
    Full-text PDF :151
    References:53
     
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