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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.
Simón Pinero, Juan Jacobo. "Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.." Publicacions Matemàtiques 36.1 (1992): 189-195. <http://eudml.org/doc/41159>.
@article{SimónPinero1992, abstract = {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.}, author = {Simón Pinero, Juan Jacobo}, journal = {Publicacions Matemàtiques}, keywords = {Anillo local noetheriano; Dimensiones; Módulos inyectivos; homological dimension; torsion theory; cocritical module; left global dimension; Gabriel dimension; projective or injective dimensions; cyclic left -modules; left Noetherian}, language = {eng}, number = {1}, pages = {189-195}, title = {Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.}, url = {http://eudml.org/doc/41159}, volume = {36}, year = {1992}, }
TY - JOUR AU - Simón Pinero, Juan Jacobo TI - Global dimension in Noetherian rings and rings with Gabriel and Krull dimension. JO - Publicacions Matemàtiques PY - 1992 VL - 36 IS - 1 SP - 189 EP - 195 AB - 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. LA - eng KW - Anillo local noetheriano; Dimensiones; Módulos inyectivos; homological dimension; torsion theory; cocritical module; left global dimension; Gabriel dimension; projective or injective dimensions; cyclic left -modules; left Noetherian UR - http://eudml.org/doc/41159 ER -