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Pugach, L. I.

On the homological dimension of Banach algebras of smooth functions. (English. Russian original) Zbl 0518.46042

Russ. Math. Surv. 37, No. 4, 135-136 (1982); translation from Usp. Mat. Nauk 37, No. 4(226), 175-176 (1982).
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Cited in 2 Documents

MSC:

46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46J10 Banach algebras of continuous functions, function algebras
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
18G20 Homological dimension (category-theoretic aspects)
16E10 Homological dimension in associative algebras

Keywords:

Banach algebra of smooth functions; ideal with finite homological dimension in a commutative Banach algebra; small homological dimension

Citations:

Zbl 0189.446
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