Global dimension in Noetherian rings and rings with Gabriel and Krull dimension.

Juan Jacobo Simón Pinero

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 1, page 189-195
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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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 -

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