Shortening filtrations.

DOI10.1007/S11425-011-4334-2zbMath1282.16008OpenAlexW3188508391MaRDI QIDQ424317

Edgar E. Enochs

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4334-2

zbMATH Keywords

classes of modulesdirect sums of modulesHill classeslengths of filtrationsprecovering classes

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Abelian categories, Grothendieck categories (18E10) General module theory in associative algebras (16D10) Filtered associative rings; filtrational and graded techniques (16W70)

Related Items (5)

Well generatedness and adjoints for homotopy categories of \(N\)-complexes ⋮ Locally torsion-free quasi-coherent sheaves ⋮ Balance with flat objects ⋮ Tor-pairs: Products and approximations ⋮ Flat Discrete Modules Over Profinite Groups

Cites Work

• Generalized Hill lemma, Kaplansky theorem for cotorsion pairs and some applications.
• The Third Axiom of Countability for Abelian Groups
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• Deconstructibility and the Hill Lemma in Grothendieck categories
• Completeness of cotorsion pairs

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