On the difference between cohomological dimension and homological dimension

DOI10.1016/0022-4049(74)90042-5zbMath0295.18003OpenAlexW2075851900MaRDI QIDQ1212986

Barry Mitchell, Dana May Latch

Publication date: 1974

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(74)90042-5

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projective and free modules and ideals in commutative rings (13C10) Resolutions; derived functors (category-theoretic aspects) (18G10) Homological dimension (category-theoretic aspects) (18G20) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Homological algebra in category theory, derived categories and functors (18G99)

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Cites Work

• Flat and coherent functors
• Cohomological topics in group theory.
• Rings with several objects
• On torsion-free groups with infinitely many ends
• On Derived Functors of Limit
• The Cohomological Dimension of a Directed Set
• Foundations of relative homological algebra
• Homological Dimensions of $\aleph_0$-Coherent Rings.
• Upper Bounds on Homological Dimensions
• Autour de la platitude
• A Remark on the Krull-Schmidt-Azumaya Theorem