Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i logika, 2020, Volume 59, Number 3, Pages 367–384
DOI: https://doi.org/10.33048/alglog.2020.59.306 (Mi al2620) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Verbally closed subgroups of free solvable groups

V. A. Roman'kovab, E. I. Timoshenkoacb

a Mathematical Center in Akademgorodok, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Novosibirsk State Technical University
Full-text PDF (282 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2020.59.306
Abstract: We establish a series of results on verbally closed and $l$-verbally closed subgroups of free solvable groups; here $l$ is a natural number and the concept of $l$-verbal closedness is a generalization of the concept of verbal closedness corresponding to the value $l=1$. Under certain assumptions, these subgroups turn out to be retracts and, consequently, are algebraically closed.
Keywords: free solvable group, verbally closed subgroup, $l$-verbally closed subgroup.
Funding agency
V. A. Roman’kov and E. I. Timoshenko are Supported by Mathematical Center in Akademgorodok, Agreement with RF Ministry of Education and Science No. 075-15-2019-1613.
Received: 22.05.2019
Revised: 21.10.2020
English version:
Algebra and Logic, 2020, Volume 59, Issue 3, Pages 253–265
DOI: https://doi.org/10.1007/s10469-020-09597-6
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: Russian
Citation: V. A. Roman'kov, E. I. Timoshenko, “Verbally closed subgroups of free solvable groups”, Algebra Logika, 59:3 (2020), 367–384; Algebra and Logic, 59:3 (2020), 253–265
Citation in format AMSBIB
\Bibitem{RomTim20}
\by V.~A.~Roman'kov, E.~I.~Timoshenko
\paper Verbally closed subgroups of free solvable groups
\jour Algebra Logika
\yr 2020
\vol 59
\issue 3
\pages 367--384
\mathnet{http://mi.mathnet.ru/al2620}
\crossref{https://doi.org/10.33048/alglog.2020.59.306}
\transl
\jour Algebra and Logic
\yr 2020
\vol 59
\issue 3
\pages 253--265
\crossref{https://doi.org/10.1007/s10469-020-09597-6}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000585009100003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85094679439}
Linking options:
  • https://www.mathnet.ru/eng/al2620
  • https://www.mathnet.ru/eng/al/v59/i3/p367
    • This publication is cited in the following 3 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
    Statistics & downloads:
    Abstract page:201
    Full-text PDF :12
    References:27
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024