Divisible modules over integral domains

DOI10.1007/BF02386109zbMath0654.13002MaRDI QIDQ1108327

Alberto Facchini

Publication date: 1988

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

divisible modules over an integral domainmodules over the endomorphism ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Integral domains (13G05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Divisibility and factorizations in commutative rings (13A05) Homological methods in commutative ring theory (13D99) Commutative ring extensions and related topics (13B99)

Related Items (14)

Derived equivalences of functor categories ⋮ Equivalences induced by infinitely generated silting modules ⋮ One-tilting classes and modules over commutative rings ⋮ COPURE INJECTIVE MODULES ⋮ Modules of projective dimension one over noncommutative prüfer rings ⋮ TTF triples in functor categories. ⋮ A tilting module over commutative integral domains ⋮ Triangulated Matlis equivalence ⋮ Tilting modules over almost perfect domains ⋮ \(\mathcal F\)-divisible modules and tilting modules over Prüfer domains ⋮ Equivalences induced by infinitely generated tilting modules ⋮ Derived equivalence induced by infinitely generated 𝑛-tilting modules ⋮ Injective modules and divisible modules over hereditary rings. ⋮ Divisible modules and localization

Cites Work

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• Infinite Abelian groups and homological methods
• Relative injectivity and pure-injective modules over Prüfer rings
• Pure submodules
• Purity and algebraic compactness for modules
• 1-dimensional Cohen-Macaulay rings
• Irreducible lattices belonging to integral blocks with dihedral defect groups in 2-solvable groups
• Cotorsion modules

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