Prikladnaya Diskretnaya Matematika
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



Prikl. Diskr. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Prikladnaya Diskretnaya Matematika, 2013, Number 3(21), Pages 32–34 (Mi pdm423)  

This article is cited in 2 scientific papers (total in 2 papers)

Theoretical Foundations of Applied Discrete Mathematics

On exponents of some varieties of linear algebras

S. M. Ratseev

Ulyanovsk State University, Ulyanovsk, Russia
Full-text PDF (520 kB) Citations (2)
References:
Abstract: The algebra $UT_s$ of upper triangular matrices of a size $s$ is considered. The equivalent conditions for the growth estimation are obtained for subvarieties in $var(UT_s)$, for varieties of Leibnitz algebras with nilpotent commutant, and for varieties of Leibniz–Poisson algebras with the identities $\{\{x_1,y_1\},\dots,\{x_n,y_n\}\}=0$, $\{x_1,y_1\}\cdot\ldots\cdot\{x_n,y_n\}=0$.
Keywords: variety of linear algebras, growth of a variety, exponent of a variety.
Document Type: Article
UDC: 512.572
Language: Russian
Citation: S. M. Ratseev, “On exponents of some varieties of linear algebras”, Prikl. Diskr. Mat., 2013, no. 3(21), 32–34
Citation in format AMSBIB
\Bibitem{Rat13}
\by S.~M.~Ratseev
\paper On exponents of some varieties of linear algebras
\jour Prikl. Diskr. Mat.
\yr 2013
\issue 3(21)
\pages 32--34
\mathnet{http://mi.mathnet.ru/pdm423}
Linking options:
  • https://www.mathnet.ru/eng/pdm423
  • https://www.mathnet.ru/eng/pdm/y2013/i3/p32
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Прикладная дискретная математика
    Statistics & downloads:
    Abstract page:167
    Full-text PDF :47
    References:49
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024