Endomorphism rings of modules whose cardinality is cofinal to omega

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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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Rings and Algebras, Logic

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http://salesiana.dossiersoluciones.com/handle/123456789/60416

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011186
 http://arxiv.org/abs/math/0011186
 Abelian groups, module theory, and topology (Padua, 1997), volume 210 of Lecture Notes in Pure and Appl. Math., pp 235-248, Dekker, New York, 1998

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arXiv