Resumo

NIDO, JUAN; MENDOZA, PABLO  e  VILLEGAS, LUIS. Weakly compact cardinals and κ-torsionless modules. Rev.colomb.mat. [online]. 2009, vol.43, n.2, pp. 139-164. ISSN 0034-7426.

We shall prove that every κ-torsionless R-module M of cardinality κ is torsionless whenever κ is weakly compact and |R|<κ. We also provide some closure properties for ultraproducts and direct products of κ-torsionless modules. We give an example of a κ-torsionless module which is not torsionless, when κ is not weakly compact.

Palavras-chave : Torsionless module; κ-torsionless module; weaklycompact cardinal; slender rings.