141
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Σ-Extending Modules, Σ-Lifting Modules, and Proper Classes

Pages 529-545 | Received 21 Nov 2006, Published online: 07 Apr 2008

REFERENCES

  • Angeleri Hügel , L. ( 2000 ). On Some Precovers and Preenvelopes . München : Habilitationsschrift, Hieronymus .
  • Azumaya , G. ( 1987 ). Finite splitness and finite projectivity . J. Algebra 106 : 114 – 134 .
  • Bican , L. , El Bashir , R. , Enochs , E. ( 2001 ). All modules have flat covers . Bull. London Math. Soc. 33 : 385 – 390 .
  • Buchsbaum , D. A. (1959). A note on homology in categories. Ann. Math. 69:66–74.
  • Cheatham , T. , Enochs , E. ( 1980 ). Injective hulls of flat modules . Comm. Algebra 8 : 1989 – 1995 .
  • Clark , J. ( 1999 ). On Purely Extending Modules. Proceedings of the International Conference in Dublin, August 10–14, 1998 , Basel , Birkhäuser : Trends in Mathematics , pp. 353 – 358 .
  • Clark , J. , Lomp , C. , Vanaja , N. , Wisbauer , R. ( 2006 ). Lifting Modules. Supplements and Projectivity in Module Theory . Frontiers in Mathematics, Birkhäuser, Basel .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. , Wisbauer , R. ( 1994 ). Extending Modules . Pitman Research Notes in Mathematics Series, 313 . Longman Scientific & Technical .
  • El Bashir , R. ( 2006 ). Covers and directed colimits . Algebr. Represent. Theory 9 : 423 – 430 .
  • Fuchs , L. ( 1995 ). Notes on Generalized Continuous Modules . Preprint .
  • Ganesan , L. , Vanaja , N. ( 2002 ). Modules for which every submodule has a unique coclosure . Comm. Algebra 30 : 2355 – 2377 .
  • Gómez Pardo , J. L. , Guil Asensio , P. A. ( 2003 ). Indecomposable decompositions of modules whose direct sums are CS . J. Algebra 262 : 194 – 200 .
  • Lenzing , H. ( 1983 ). Homological transfer from finitely presented to infinite modules . Lecture Notes in Math. 1006 : 734 – 761 .
  • Mishina , A. P. , Skornjakov , L. A. ( 1976 ). Abelian groups and modules . Amer. Math. Soc. Transl., Ser. 2 1 – 160 .
  • Oshiro , K. ( 1984 ). Lifting modules, extending modules and their applications to QF-rings . Hokkaido Math. J. 13 : 310 – 338 .
  • Rada , J. , Saorín , M. ( 1998 ). Rings characterized by (pre)envelopes and (pre)covers of their modules . Comm. Algebra 26 : 899 – 912 .
  • Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Reading : Gordon & Breach .
  • Xu , J. ( 1996 ). Flat Covers of Modules . Lecture Notes in Math . 1634 . Berlin : Springer .
  • Communicated by J. L. Gómez Pardo.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.