Geodesic
Homological dimension of Banach algebras of analytic functions
Sbornik. Mathematics, Tome 12 (1970) no. 2, pp. 221-233

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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. 
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     author = {A. Ya. Helemskii},
     title = {Homological dimension of {Banach} algebras of analytic functions},
     journal = {Sbornik. Mathematics},
     pages = {221--233},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1970_12_2_a4/}
}
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A. Ya. Helemskii. Homological dimension of Banach algebras of analytic functions. Sbornik. Mathematics, Tome 12 (1970) no. 2, pp. 221-233. http://geodesic.mathdoc.fr/item/SM_1970_12_2_a4/