Injectivity relative to closed submodules.

DOI10.1016/j.jalgebra.2008.11.004zbMath1175.16006OpenAlexW2094643766WikidataQ122681190 ScholiaQ122681190MaRDI QIDQ1012571

Patrick F. Smith, Engin Mermut, Catarina Santa-Clara

Publication date: 21 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.11.004

zbMATH Keywords

Dedekind domainsinjective modulesclosed submodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Other classes of modules and ideals in associative algebras (16D80) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (7)

Unnamed Item ⋮ Neat submodules over integral domains ⋮ More characterizations of Dedekind domains and V-rings ⋮ Weakly-\(\tau\)-flat modules ⋮ Neat submodules over commutative rings ⋮ Absolutelys-Pure Modules and Neat-Flat Modules ⋮ Projectivity relative to closed (neat) submodules

Cites Work

• Self-c-injective Abelian groups.
• Group rings of polycyclic groups
• Direct products of simple modules over Dedekind domains.
• Purity and algebraic compactness for modules
• Modules with decompositions that complement direct summands
• Preface to the English translation
• High extensions of Abelian groups
• Injective Structures
• Modules Over Dedekind Rings and Valuation Rings
• Multiplication modules
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