Some remarks on global dimensions for cotorsion pairs

Edgar E. Enochs; Hae-Sik Kim

Rendiconti del Seminario Matematico della Università di Padova (2006)

  • Volume: 116, page 205-209
  • ISSN: 0041-8994

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Enochs, Edgar E., and Kim, Hae-Sik. "Some remarks on global dimensions for cotorsion pairs." Rendiconti del Seminario Matematico della Università di Padova 116 (2006): 205-209. <http://eudml.org/doc/108693>.

@article{Enochs2006,
author = {Enochs, Edgar E., Kim, Hae-Sik},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {cotorsion pairs; global dimensions},
language = {eng},
pages = {205-209},
publisher = {Seminario Matematico of the University of Padua},
title = {Some remarks on global dimensions for cotorsion pairs},
url = {http://eudml.org/doc/108693},
volume = {116},
year = {2006},
}

TY - JOUR
AU - Enochs, Edgar E.
AU - Kim, Hae-Sik
TI - Some remarks on global dimensions for cotorsion pairs
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2006
PB - Seminario Matematico of the University of Padua
VL - 116
SP - 205
EP - 209
LA - eng
KW - cotorsion pairs; global dimensions
UR - http://eudml.org/doc/108693
ER -

References

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  1. [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. Zbl0983.16003MR1848954
  2. [2] P. EKLOF, Homological algebra and set theory, Trans. Amer. Math. Soc., 227 (1977), pp. 207-225. Zbl0355.02047MR453520
  3. [3] E. ENOCHS, Minimal pure injective resolutions of flat modules, J. Algebra, 105 (1987), pp. 351-364. Zbl0614.13005MR873670
  4. [4] E. ENOCHS - O. M. G. JENDA - B. TORRECILLAS - J. XU, Torsion theories relative to Ext, preprint. 
  5. [5] E. ENOCHS - J. A. LOPEZ-RAMOS, Kaplansky classes, Rend. Sem. Mat. Univ. Padova, 107 (2002), pp. 67-79. Zbl1099.13019MR1926201
  6. [6] P. EKLOF - J. TRLIFAJ, How to make Ext vanish, Bull. London Math. Soc., 33 (2001), pp. 41-51. Zbl1030.16004MR1798574
  7. [7] S.I. GELFAND - Y. I. MANIN, Methods of Homological Algebra, Springer, 1996. Zbl0855.18001MR1438306
  8. [8] M. HOVEY, Cotorsion pairs, model category structures, and representation theory, Math. Z., 241 (2002), pp. 553-592. Zbl1016.55010MR1938704
  9. [9] C. U. JENSEN, On the vanishing of lim 2– (i) , J. Algebra, 15 (1970), pp. 151-166. Zbl0199.36202MR260839
  10. [10] L. SALCE, Cotorsion theories for abelian groups, Sympos. Math., 23 (1979), pp. 11-32. Zbl0426.20044MR565595
  11. [11] J. XU, Flat covers of modules, Lecture Notes in Math. 1634, Springer-Verlag, 1996. Zbl0860.16002MR1438789

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