Absolutely indecomposable modules

DOI10.1090/S0002-9939-07-08725-4zbMath1122.13006arXiv0711.3011OpenAlexW2963265198MaRDI QIDQ3430167

Saharon Shelah, Rüdiger Göbel

Publication date: 21 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.3011

zbMATH Keywords

free modulesgeneric extensiondistinguished submodulesErdös cardinal

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Applications of logic to commutative algebra (13L05) Other combinatorial set theory (03E05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25) Torsion-free groups, finite rank (20K15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (7)

Absolute \(E\)-rings ⋮ An axiomatic construction of an almost full embedding of the category of graphs into the category of \(R\)-objects ⋮ Absolute \(E\)-modules ⋮ Absolute graphs with prescribed endomorphism monoid ⋮ Modules with absolute endomorphism rings. ⋮ An upper cardinal bound on absolute E-rings ⋮ Nice infinitary logics

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