Geodesic
GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 685-703

Voir la notice de l'article provenant de la source Cambridge

DOI

Given a complete hereditary cotorsion pair $(\mathcal{X}, \mathcal{Y})$ , we introduce the concept of $(\mathcal{X}, \mathcal{X} \cap \mathcal{Y})$ -Gorenstein projective modules and study its stability properties. As applications, we first get two model structures related to Gorenstein flat modules over a right coherent ring. Secondly, for any non-negative integer n, we construct a cofibrantly generated model structure on Mod(R) in which the class of fibrant objects are the modules of Gorenstein injective dimension ≤ n over a left Noetherian ring R. Similarly, if R is a left coherent ring in which all flat left R-modules have finite projective dimension, then there is a cofibrantly generated model structure on Mod(R) such that the cofibrant objects are the modules of Gorenstein projective dimension ≤ n. These structures have their analogous in the category of chain complexes. 
XU, AIMIN. GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 685-703. doi: 10.1017/S0017089516000483
@article{10_1017_S0017089516000483,
     author = {XU, AIMIN},
     title = {GORENSTEIN {MODULES} {AND} {GORENSTEIN} {MODEL} {STRUCTURES}},
     journal = {Glasgow mathematical journal},
     pages = {685--703},
     year = {2017},
     volume = {59},
     number = {3},
     doi = {10.1017/S0017089516000483},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000483/}
}
TY  - JOUR
AU  - XU, AIMIN
TI  - GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
JO  - Glasgow mathematical journal
PY  - 2017
SP  - 685
EP  - 703
VL  - 59
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000483/
DO  - 10.1017/S0017089516000483
ID  - 10_1017_S0017089516000483
ER  - 
%0 Journal Article
%A XU, AIMIN
%T GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES
%J Glasgow mathematical journal
%D 2017
%P 685-703
%V 59
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000483/
%R 10.1017/S0017089516000483
%F 10_1017_S0017089516000483

Cité par Sources :