Endomorphism rings of modules whose cardinality is cofinal to omega

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dc.creatorGöbel, Rüdiger
dc.creatorShelah, Saharon
dc.date2000-11-22
dc.date.accessioned2026-07-07T04:38:47Z
dc.date.available2026-07-07T04:38:47Z
dc.descriptionThe 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.
dc.identifierhttps://arxiv.org/abs/math/0011186
dc.identifierhttp://arxiv.org/abs/math/0011186
dc.identifierAbelian groups, module theory, and topology (Padua, 1997), volume 210 of Lecture Notes in Pure and Appl. Math., pp 235-248, Dekker, New York, 1998
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60416
dc.subjectRings and Algebras
dc.subjectLogic
dc.titleEndomorphism rings of modules whose cardinality is cofinal to omega
dc.typetext

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