Calculating the global dimension of tensor products of Banach algebras and a generalization of Phillips' theorem

DOI10.1007/BF01158128zbMath0497.46049MaRDI QIDQ1170734

A. N. Krichevets

Publication date: 1982

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

zbMATH Keywords

biprojective commutative Banach algebrasglobal homological dimension of Banach modulesstandard complexestensor products of Banach algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological dimension (category-theoretic aspects) (18G20) Tensor products in functional analysis (46M05)

Related Items (2)

Unnamed Item ⋮ Additivity of homological dimensions for tensor products of some Banach algebras

Cites Work

• Unnamed Item
• ON A METHOD FOR CALCULATING AND ESTIMATING THE GLOBAL HOMOLOGICAL DIMENSION OF BANACH ALGEBRAS
• On Linear Transformations

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