Behavior of countably generated pure-projective modules

• Autores: Goro Azumaya
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 401-406
• Idioma: inglés
• DOI: 10.5565/publmat_362a92_04
• Títulos paralelos:
  • Comportamiento de modulos proyectivos puros contablemente generados
• Enlaces
  • Texto completo
• Resumen

  • 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 prove 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.