Local cohomology for commutative Banach algebras

DOI10.1216/rmjm/1022008995zbMath1011.46047OpenAlexW2081994203MaRDI QIDQ5928678

Assadollah Niknam, Mohammad Sal Moslehian

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-1/CONT30-1/CONT30-1.html

zbMATH Keywords

Banach modulesconnected right sequencedirect limithomology functorsinjective resolutionlocal cohomology functortorsion and torsion-free modulesunital commutative Banach algebras

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Local cohomology and commutative rings (13D45) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18)

Cites Work

• An elementary realization of a nondiscrete factor.
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
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