Projective diagrams over partially ordered sets are free

DOI10.1016/0022-4049(81)90045-1zbMath0462.18001OpenAlexW2022825812MaRDI QIDQ1153219

Helmut Lenzing, Michael Hoeppner

Publication date: 1981

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(81)90045-1

zbMATH Keywords

module categorydecomposition theoremfinitely generated projectivesprojective diagram

Mathematics Subject Classification ID

Graphs, diagram schemes, precategories (18A10) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items

HOW TO USE ABELIAN GROUP THEORY FOR THE STUDY OF DIAGRAMS OVER LOCALLY WELL-ORDERED SETS ⋮ Posets of cohomological dimension one with finitely many tails ⋮ DCC categories of cohomological dimension one ⋮ An Elementary Approach to the Projective Dimension in Proper Homotopy Theory ⋮ A note on the structure of injective diagrams

Cites Work

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• Projective modules
• Liberte des gros modules projectifs
• Rings with several objects
• Projective and free modules
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Some applications of module theory to functor categories
• The Jacobson Radical of the Endomorphism Ring of a Projective Module