\(\mathcal F\)-divisible modules and tilting modules over Prüfer domains

DOI10.1016/j.jpaa.2004.12.007zbMath1101.13013OpenAlexW2021336402MaRDI QIDQ555975

Luigi Salce

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.007

zbMATH Keywords

tilting moduledivisible modulePrüfer Domaintilting torsion class

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items

Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes. ⋮ One-tilting classes and modules over commutative rings ⋮ Tilting modules and universal localization ⋮ Tilting modules arising from ring epimorphisms. ⋮ Tilting for regular rings of Krull dimension two ⋮ Tilting modules over almost perfect domains ⋮ Cotilting and tilting modules over Prüfer domains ⋮ Divisible modules and localization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divisible modules over integral domains
• Tilting modules over small Dedekind domains
• On a class of rings that generalize Dedekind rings
• Tilting modules and tilting torsion theories
• S-divisible modules over domains
• Tilting modules over valuation domains
• Cotilting and tilting modules over Prüfer domains
• Tilting Cotorsion Pairs