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/