Keywords: Gorenstein quasi-projective module; Gorenstein star module; Gorenstein tilting module
@article{10_21136_CMJ_2020_0395_19,
author = {Zhang, Peiyu},
title = {Gorenstein star modules and {Gorenstein} tilting modules},
journal = {Czechoslovak Mathematical Journal},
pages = {403--416},
year = {2021},
volume = {71},
number = {2},
doi = {10.21136/CMJ.2020.0395-19},
mrnumber = {4263177},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0395-19/}
}
TY - JOUR AU - Zhang, Peiyu TI - Gorenstein star modules and Gorenstein tilting modules JO - Czechoslovak Mathematical Journal PY - 2021 SP - 403 EP - 416 VL - 71 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0395-19/ DO - 10.21136/CMJ.2020.0395-19 LA - en ID - 10_21136_CMJ_2020_0395_19 ER -
Zhang, Peiyu. Gorenstein star modules and Gorenstein tilting modules. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 2, pp. 403-416. doi: 10.21136/CMJ.2020.0395-19
[1] Hügel, L. Angeleri, Coelho, F. U.: Infinitely generated tilting modules of finite projective dimension. Forum Math. 13 (2001), 239-250. | DOI | MR | JFM
[2] Auslander, M., Solberg, Ø.: Relative homology and representation theory I. Relative homology and homologically finite subcategories. Commun. Algebra 21 (1993), 2995-3031. | DOI | MR | JFM
[3] Bazzoni, S.: A characterization of $n$-cotilting and $n$-tilting modules. J. Algebra 273 (2004), 359-372. | DOI | MR | JFM
[4] Brenner, S., Butler, M. C. R.: Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors. Representation Theory II Lecture Notes in Mathematics 832. Springer, Berlin (1980), 103-169. | DOI | MR | JFM
[5] Colpi, R., Trlifaj, J.: Tilting modules and tilting torsion theories. J. Algebra 178 (1995), 614-634. | DOI | MR | JFM
[6] Enochs, E. E., Jenda, O. M. G.: Relative Homological Algebra. de Gruyter Expositions in Mathematics 30. Walter de Gruyter, Berlin (2000). | DOI | MR | JFM
[7] Happel, D., Ringel, C. M.: Tilted algebras. Trans. Am. Math. Soc. 274 (1982), 399-443. | DOI | MR | JFM
[8] Holm, H.: Gorenstein homological dimensions. J. Pure Appl. Algebra 189 (2004), 167-193. | DOI | MR | JFM
[9] Wei, J.: $n$-star modules and $n$-tilting modules. J. Algebra 283 (2005), 711-722. | DOI | MR | JFM
[10] Wei, J.: A note on relative tilting modules. J. Pure Appl. Algebra 214 (2010), 493-500. | DOI | MR | JFM
[11] Yan, L., Li, W., Ouyang, B.: Gorenstein cotilting and tilting modules. Commun. Algebra 44 (2016), 591-603. | DOI | MR | JFM
Cité par Sources :