Some cardinality questions for flat modules and coherence

DOI10.1016/0021-8693(69)90050-7zbMath0177.05903OpenAlexW2092154069MaRDI QIDQ2534211

Christian U. Jensen

Publication date: 1969

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(69)90050-7

zbMATH Keywords

coherenceflat modulesassociative ringsweak global dimensionrings of formal power seriesleft \(\aleph\)-coherentleft \(\aleph\)-Noetherian

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Homological dimension in associative algebras (16E10)

Related Items (6)

Theories of presheaf type ⋮ On finitistic flat dimension of rings and schemes ⋮ Embedding flat modules in filtered unions of projectives ⋮ Coherence and weak global dimension of \(RX\) when \(R\) is von Neumann regular ⋮ On coherent rings ⋮ Special classes of generalized coherent rings

Cites Work

• Projective modules
• On semi-hereditary rings
• Free ideal rings
• TRIVIALITY OF VECTOR BUNDLES OVER THE AFFINE SPACE K ²
• On the Ring of Quotients of a Boolean Ring
• Semi-Prime Rings with Maximum Condition
• Homological Dimensions of $\aleph_0$-Coherent Rings.
• Nonsingular Rings
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