Embedding torsionless modules in projectives

• Autores: Carl Faith
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 2, 1990, págs. 379-387
• Idioma: inglés
• DOI: 10.5565/publmat_34290_16
• Títulos paralelos:
  • Módulos sin torsión anidados en proyectivas
• Enlaces
  • Texto completo
• Resumen

  • In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring Rn is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.