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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 3, Pages 399–411
DOI: https://doi.org/10.1070/SM1970v010n03ABEH001676 (Mi sm3381) 		 
This article is cited in 29 scientific papers (total in 29 papers)

On the homological dimension of normed modules over Banach algebras

A. Ya. Helemskii
English version PDF (695 kB) Citations (29) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1970v010n03ABEH001676
Abstract: In this work there is introduced a notion of relative homological dimension of a normed module over a Banach algebra. This dimension is computed for several cases. The results obtained are applicable to finding cohomology groups of certain Banach algebras and to solving the question of the strong decomposability of certain classes of extended Banach algebras.
Bibliography: 13 titles.
Received: 27.05.1969
Bibliographic databases:
UDC: 513.836
MSC: 46H25, 46B20, 20J06
Language: English
Original paper language: Russian
Citation: A. Ya. Helemskii, “On the homological dimension of normed modules over Banach algebras”, Math. USSR-Sb., 10:3 (1970), 399–411
Citation in format AMSBIB
\Bibitem{Hel70}
\by A.~Ya.~Helemskii
\paper On~the homological dimension of normed modules over Banach algebras
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 3
\pages 399--411
\mathnet{http://mi.mathnet.ru//eng/sm3381}
\crossref{https://doi.org/10.1070/SM1970v010n03ABEH001676}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=262831}
\zmath{https://zbmath.org/?q=an:0189.44602|0216.16001}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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