Embedding torsionless modules in projectives.

Faith, Carl. "Embedding torsionless modules in projectives.." Publicacions Matemàtiques 34.2 (1990): 379-387. <http://eudml.org/doc/41144>.

@article{Faith1990,
abstract = {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.},
author = {Faith, Carl},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de anillos; Anillos; Módulos; FGTF ring; Utumi ring; self-injective ring; IF ring; finitely generated torsionless right R-modules; projective module; Von Neumann regular; matrix ring; Baer ring; embedding properties},
language = {eng},
number = {2},
pages = {379-387},
title = {Embedding torsionless modules in projectives.},
url = {http://eudml.org/doc/41144},
volume = {34},
year = {1990},
}

TY - JOUR
AU - Faith, Carl
TI - Embedding torsionless modules in projectives.
JO - Publicacions Matemàtiques
PY - 1990
VL - 34
IS - 2
SP - 379
EP - 387
AB - 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.
LA - eng
KW - Teoría de anillos; Anillos; Módulos; FGTF ring; Utumi ring; self-injective ring; IF ring; finitely generated torsionless right R-modules; projective module; Von Neumann regular; matrix ring; Baer ring; embedding properties
UR - http://eudml.org/doc/41144
ER -