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On the homological dimension of normed modules over Banach algebras

A. Ya. Helemskii


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.

UDC: 513.836

MSC: 46H25, 46B20, 20J06

Received: 27.05.1969

 English version: Mathematics of the USSR-Sbornik, 1970, 10:3, 399–411

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