Homological dimensions of certain algebras of principal (test) functions

DOI10.1007/BF01139859zbMATH Open0558.46020MaRDI QIDQ762727

O. S. Ogneva, A. Ya Helemskiǐ

Publication date: 1984

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

locally convex algebrasalgebras of test functionsbi-dimensionglobal and small homological dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Banach algebras of continuous functions, function algebras (46J10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Homology and cohomology for topological algebras
• A general framwork for a multi-operator functional calculus

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