Date: |
1992 |
Abstract: |
We first prove that every countably presented module is a pure epimorphic image of a countably generated pure-projective module, and by using this we show that if every countably generated pure-projective module is pure-injective then every module is pure-injective, while if in any countably generated pure-projective module every countably generated pure-projective pure submodule is a direct summand then every module is pure-projective. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Published in: |
Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 401-406, ISSN 2014-4350 |