Embedding torsionless modules in projectives.
Faith, Carl
Publicacions Matemàtiques, Tome 34 (1990), p. 379-387 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1990-01-01
DMLE-ID : 3694 
@article{urn:eudml:doc:41144,
     title = {Embedding torsionless modules in projectives.},
     journal = {Publicacions Matem\`atiques},
     volume = {34},
     year = {1990},
     pages = {379-387},
     zbl = {0716.16006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41144}
}

Faith, Carl. Embedding torsionless modules in projectives.. Publicacions Matemàtiques, Tome 34 (1990) pp. 379-387. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41144/