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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) Russian version article
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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
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”, 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 Math. USSR-Sb.
\yr 1970
\vol 12
\issue 2
\pages 221--233
\mathnet{http://mi.mathnet.ru//eng/sm3509}
\crossref{https://doi.org/10.1070/SM1970v012n02ABEH000918}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=271736}
\zmath{https://zbmath.org/?q=an:0202.41501}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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