Cotilting and a hierarchy of almost cotorsion groups

DOI10.1006/jabr.1999.8103zbMath0947.20036OpenAlexW2050646395WikidataQ57571321 ScholiaQ57571321MaRDI QIDQ1970981

Jan Trlifaj, Rüdiger Göbel

Publication date: 9 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8103

zbMATH Keywords

endomorphism ringstilting modulesZFCV=LShelah's Black Boxsplittersalmost cotorsion groupspartially cotilting Abelian groupspartially tilting Abelian groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40)

Related Items (20)

Unnamed Item ⋮ One-tilting classes and modules over commutative rings ⋮ Very flat, locally very flat, and contraadjusted modules ⋮ Baer cotorsion pairs. ⋮ The Krull-Schmidt theorem in the case two. ⋮ Model category structures arising from Drinfeld vector bundles ⋮ Recent Progress in Module Approximations ⋮ Self-splitting Abelian groups ⋮ Tilting modules over almost perfect domains ⋮ Large indecomposable roots of Ext ⋮ On the lattice of cotorsion theories ⋮ Hereditary cotilting modules ⋮ An independence result on cotorsion theories over valuation domains ⋮ Cotilting and tilting modules over Prüfer domains ⋮ Matlis flat modules ⋮ Endomorphism Rings with Finitely Many Maximal Right Ideals ⋮ Tree modules and limits of the approximation theory ⋮ Covers induced by Ext ⋮ Cotorsion theories and splitters ⋮ Tilting modules over small Dedekind domains

Cites Work

• Tilting modules of finite projective dimension
• Prescribing endomorphism algebras. The cotorsion-free case
• Quasi-tilting modules and counter equivalences
• Tilting modules and tilting torsion theories
• Modules with decompositions that complement direct summands
• Self-splitting Abelian groups
• How To Make Ext Vanish
• Tilting, cotilting, and serially tilted rings
• Almost free splitters
• Tilted Algebras
• Balanced Subgroups of Abelian Groups
• Partial cotilting modules and the lattices induced by them
• Cotorsion theories and splitters
• Prescribing Endomorphism Algebras, a Unified Treatment
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