In this paper we compute the global dimension of Noetherian rings and rings with Gabriel and Krull dimension by taking a subclass of cyclic modules determined by the Gabriel filtration in the lattice of hereditary torsion theories.
@article{urn:eudml:doc:41159,
title = {Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.},
journal = {Publicacions Matem\`atiques},
volume = {36},
year = {1992},
pages = {189-195},
zbl = {0773.16003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41159}
}
Simón Pinero, Juan Jacobo. Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.. Publicacions Matemàtiques, Tome 36 (1992) pp. 189-195. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41159/