Mathematics of the USSR-Sbornik
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

Mathematics of the USSR-Sbornik, 1970, Volume 12, Issue 2, Pages 221–233
DOI: https://doi.org/10.1070/SM1970v012n02ABEH000918 (Mi sm3509) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Homological dimension of Banach algebras of analytic functions

A. Ya. Helemskii
English version PDF (793 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1970v012n02ABEH000918
Abstract: In this article we calculate the homological dimensions of a certain class of Banach modules over algebras with uniform convergence. The scheme proposed allows us, in particular, to find the homological dimension of all one-dimensional modules over Banach algebras of functions holomorphic on a polydisk and on a ball in $\mathbf C^n$.
Bibliography: 7 titles.
Received: 25.12.1969
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1970, Volume 83(125), Number 2(10), Pages 222–233
Bibliographic databases:
UDC: 517.53+513.881
MSC: 18G20, 46J10, 46E50, 46J20, 16S37, 18A30
Language: English
Original paper language: Russian
Citation: A. Ya. Helemskii, “Homological dimension of Banach algebras of analytic functions”, Mat. Sb. (N.S.), 83(125):2(10) (1970), 222–233; Math. USSR-Sb., 12:2 (1970), 221–233
Citation in format AMSBIB
\Bibitem{Hel70}
\by A.~Ya.~Helemskii
\paper Homological dimension of Banach algebras of analytic functions
\jour Mat. Sb. (N.S.)
\yr 1970
\vol 83(125)
\issue 2(10)
\pages 222--233
\mathnet{http://mi.mathnet.ru/sm3509}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=271736}
\zmath{https://zbmath.org/?q=an:0202.41501}
\transl
\jour Math. USSR-Sb.
\yr 1970
\vol 12
\issue 2
\pages 221--233
\crossref{https://doi.org/10.1070/SM1970v012n02ABEH000918}
Linking options:
  • https://www.mathnet.ru/eng/sm3509
  • https://doi.org/10.1070/SM1970v012n02ABEH000918
  • https://www.mathnet.ru/eng/sm/v125/i2/p222
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:285
    Russian version PDF:122
    English version PDF:3
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024