Embedding torsionless modules in projectives.

@inproceedings{Faith1990EmbeddingTM,
  title={Embedding torsionless modules in projectives.},
  author={Carl Clifton Faith},
  year={1990}
}
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. 

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