Revista Colombiana de Matemáticas
versão impressa 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.