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Endomorphism rings of modules whose cardinality is cofinal to omega

Rüdiger Göbel·Saharon Shelah
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Abstract

The main result is Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mu^{aleph_0}<lambda<=2^mu. If A is aleph_0-cotorsion-free or A is countably free, respectively, then there exists an aleph_0-cotorsion-free or a separable (reduced, torsion-free) R-module G respectively of cardinality |G|=lambda with End_RG=A oplus Fin G.

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BibTeXRIS

Rüdiger Göbel, Saharon Shelah. 2000-11-22. Endomorphism rings of modules whose cardinality is cofinal to omega. https://arxiv.org/abs/math/0011186

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