HOW TO USE ABELIAN GROUP THEORY FOR THE STUDY OF DIAGRAMS OVER LOCALLY WELL-ORDERED SETS

DOI10.1080/16073606.1984.9631887zbMath0605.06001OpenAlexW2039010110MaRDI QIDQ3743349

Michael Hoeppner

Publication date: 1984

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1984.9631887

zbMATH Keywords

diagramsstacked bases\(\Sigma \)- pure-injective diagramsindecomposable diagramslocally well-ordered sets

Mathematics Subject Classification ID

Total orders (06A05) Homological and categorical methods for abelian groups (20K40) Functor categories, comma categories (18A25)

Cites Work

• Direct summands of unrestricted direct sums of Abelian groups
• A note on the structure of injective diagrams
• Projective diagrams over partially ordered sets are free
• A remark on projectives in functor categories
• Stacked bases for modules over principal ideal domains
• Rings with several objects
• Some left pure semisimple ringoids which are not right pure semisimple
• Rein injektive direkte summen von moduln
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