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arXiv math/0011186math.RAmath.LO
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Endomorphism rings of modules whose cardinality is cofinal to omega

Rüdiger Göbel, Saharon Shelah

英文摘要:

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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