Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2015, Volume 206, Issue 10, Pages 1440–1462
DOI: https://doi.org/10.1070/SM2015v206n10ABEH004501 (Mi sm8454) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Exponential growth of codimensions of identities of algebras with unity

M. V. Zaiceva, D. Repovšb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Ljubljana, Slovenia
English version PDF (552 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2015v206n10ABEH004501
Abstract: The asymptotic behaviour is studied of exponentially bounded sequences of codimensions of identities of algebras with unity. A series of algebras is constructed for which the base of the exponential increases by exactly 1 when an outer unity is adjoined to the original algebra. It is shown that the PI-exponents of unital algebras can take any value greater than 2, and the exponents of finite-dimensional unital algebras form a dense subset in the domain $[2,\infty)$.
Bibliography: 34 titles.
Keywords: identities, codimensions, exponential growth.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00234a
Slovenian Research Agency P1-0292-0101
J1-5435-0101
J1-6721-0101
This research was supported by the Russian Foundation for Basic Research (grant no. 13-01-00234a) and the Slovenian Research Agency (grant nos. P1-0292-0101, J1-5435-0101, and J1-6721-0101).
Received: 01.12.2014 and 13.04.2015
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 10, Pages 103–126
DOI: https://doi.org/10.4213/sm8454
Bibliographic databases:
Document Type: Article
UDC: 512.572
MSC: Primary 17A30; Secondary 16R10
Language: English
Original paper language: Russian
Citation: M. V. Zaicev, D. Repovš, “Exponential growth of codimensions of identities of algebras with unity”, Mat. Sb., 206:10 (2015), 103–126; Sb. Math., 206:10 (2015), 1440–1462
Citation in format AMSBIB
\Bibitem{ZaiRep15}
\by M.~V.~Zaicev, D.~Repov{\v s}
\paper Exponential growth of codimensions of identities of algebras with unity
\jour Mat. Sb.
\yr 2015
\vol 206
\issue 10
\pages 103--126
\mathnet{http://mi.mathnet.ru/sm8454}
\crossref{https://doi.org/10.4213/sm8454}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3438565}
\zmath{https://zbmath.org/?q=an:06537982}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015SbMat.206.1440Z}
\elib{https://elibrary.ru/item.asp?id=24850582}
\transl
\jour Sb. Math.
\yr 2015
\vol 206
\issue 10
\pages 1440--1462
\crossref{https://doi.org/10.1070/SM2015v206n10ABEH004501}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000367229400004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953213301}
Linking options:
  • https://www.mathnet.ru/eng/sm8454
  • https://doi.org/10.1070/SM2015v206n10ABEH004501
  • https://www.mathnet.ru/eng/sm/v206/i10/p103
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:473
    Russian version PDF:133
    English version PDF:13
    References:54
    First page:33
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024