Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 6, Pages 15–20 (Mi vmumm105)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

Growth of codimensions of metabelian algebras

M. V. Zaicev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (318 kB) Citations (4)
References:
PDF
HTML
Abstract: We consider numerical invariants of identities of nonassociative algebras. We prove that codimension sequence of any finitely generated metabelian algebra has exponentially bounded codimension growth. It is shown that the upper PI-exponent increases at most to 1 after adjoining an external unit. For two-step left-nilpotent algebras it is proved that the lower PI-exponent increases at least to 1.
Key words: identities, codimensions, metabelian algebras, PI-exponent.
Funding agency Grant number
Russian Science Foundation 16-11-10013
Received: 15.03.2017
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 6, Pages 233–237
DOI: https://doi.org/10.3103/S0027132217060031
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: M. V. Zaicev, “Growth of codimensions of metabelian algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 6, 15–20; Moscow University Mathematics Bulletin, 72:6 (2017), 233–237
Citation in format AMSBIB
\Bibitem{Zai17}
\by M.~V.~Zaicev
\paper Growth of codimensions of metabelian algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2017
\issue 6
\pages 15--20
\mathnet{http://mi.mathnet.ru/vmumm105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3748428}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2017
\vol 72
\issue 6
\pages 233--237
\crossref{https://doi.org/10.3103/S0027132217060031}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000419403000003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85040183345}
Linking options:
  • https://www.mathnet.ru/eng/vmumm105
  • https://www.mathnet.ru/eng/vmumm/y2017/i6/p15
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:157
    Full-text PDF :24
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024