Some remarks on global dimensions for cotorsion pairs
Enochs, Edgar E. ; Kim, Hae-Sik
Rendiconti del Seminario Matematico della Università di Padova, Tome 115 (2006), p. 205-209 / Harvested from Numdam
Publié le : 2006-01-01
@article{RSMUP_2006__116__205_0,
     author = {Enochs, Edgar E. and Kim, Hae-Sik},
     title = {Some remarks on global dimensions for cotorsion pairs},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {115},
     year = {2006},
     pages = {205-209},
     mrnumber = {2287347},
     zbl = {1156.16007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2006__116__205_0}
}
Enochs, Edgar E.; Kim, Hae-Sik. Some remarks on global dimensions for cotorsion pairs. Rendiconti del Seminario Matematico della Università di Padova, Tome 115 (2006) pp. 205-209. http://gdmltest.u-ga.fr/item/RSMUP_2006__116__205_0/

[1] S. T. Aldrich - E. Enochs - O. M. G. Jenda - L. Oyonarte, Envelopes and covers by modules of finite injective and projective dimensions, J. Algebra, 242 (2001), pp. 447-459. | MR 1848954 | Zbl 0983.16003

[2] P. Eklof, Homological algebra and set theory, Trans. Amer. Math. Soc., 227 (1977), pp. 207-225. | MR 453520 | Zbl 0355.02047

[3] E. Enochs, Minimal pure injective resolutions of flat modules, J. Algebra, 105 (1987), pp. 351-364. | MR 873670 | Zbl 0614.13005

[4] E. Enochs - O. M. G. Jenda - B. Torrecillas - J. Xu, Torsion theories relative to Ext, preprint.

[5] E. Enochs - J. A. Lopez-Ramos, Kaplansky classes, Rend. Sem. Mat. Univ. Padova, 107 (2002), pp. 67-79. | Numdam | MR 1926201 | Zbl 1099.13019

[6] P. Eklof - J. Trlifaj, How to make Ext vanish, Bull. London Math. Soc., 33 (2001), pp. 41-51. | MR 1798574 | Zbl 1030.16004

[7] S.I. Gelfand - Y. I. Manin, Methods of Homological Algebra, Springer, 1996. | MR 1438306 | Zbl 0855.18001

[8] M. Hovey, Cotorsion pairs, model category structures, and representation theory, Math. Z., 241 (2002), pp. 553-592. | MR 1938704 | Zbl 1016.55010

[9] C. U. Jensen, On the vanishing of lim 2- (i) , J. Algebra, 15 (1970), pp. 151-166. | MR 260839 | Zbl 0199.36202

[10] L. Salce, Cotorsion theories for abelian groups, Sympos. Math., 23 (1979), pp. 11-32. | MR 565595 | Zbl 0426.20044

[11] J. Xu, Flat covers of modules, Lecture Notes in Math. 1634, Springer-Verlag, 1996. | MR 1438789 | Zbl 0860.16002