On the quotients of countable direct products of modules modulo direct sums

DOI10.1007/BF01875154zbMath0814.13008OpenAlexW2009009790MaRDI QIDQ1333079

László Fuchs, Lou M. Pretorius

Publication date: 12 June 1995

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01875154

zbMATH Keywords

Ulm submodulereduced torsion modulescountably generated modulecomplete modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Direct sums, direct products, etc. for abelian groups (20K25) Other special types of modules and ideals in commutative rings (13C13) Torsion modules and ideals in commutative rings (13C12)

Related Items (2)

László Fuchs' 70th birthday ⋮ Onℵ- self-injectivity of strongly regular rings

Cites Work

• R-completions over domains with one-dimensional quotient field
• Some properties of commutative ring extensions
• On the structure of a one-dimensional quotient field
• TORSION-COMPLETENESS OVER DOMAINS WITH ONE DIMENSIONAL QUOTIENT FIELD
• Slender modules over domains
• Some compactifications of general algebras
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