Endomorphism rings of modules whose cardinality is cofinal to omega
Rüdiger Göbel, Saharon Shelah
Abstract
The main result is Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mualeph0<lambda<=2mu. If A is aleph0-cotorsion-free or A is countably free, respectively, then there exists an aleph0-cotorsion-free or a separable (reduced, torsion-free) R-module G respectively of cardinality |G|=lambda with EndRG=A oplus Fin G.
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