236
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Strongly Max-Flat Modules

Pages 1060-1073 | Received 14 Oct 2010, Published online: 13 Mar 2013

REFERENCES

  • Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules . New York : Springer-Verlag .
  • Bass , H. ( 1963 ). On the ubiquity of Gorenstein rings . Math. Z. 82 : 8 – 28 .
  • Chase , S. U. ( 1960 ). Direct products of modules . Trans. Amer. Math. Soc. 97 : 457 – 473 .
  • Cheatham , T. J. , Enochs , E. E. ( 1980 ). Injective hulls of flat modules . Comm. Algebra 8 : 1989 – 1995 .
  • Cheatham , T. J. , Stone , D. R. ( 1981 ). Flat and projective character modules . Proc. Amer. Math. Soc. 81 : 175 – 177 .
  • Costa , D. L. ( 1994 ). Parameterizing families of non-noetherian rings . Comm. Algebra 22 : 3997 – 4011 .
  • Ding , N. Q. , Chen , J. L. ( 1993 ). The homological dimensions of simple modules . Bull. Austral. Math. Soc. 48 : 265 – 274 .
  • Enochs , E. E. ( 1971 ). Torsion free covering modules II . Arch. Math. 22 : 37 – 52 .
  • Enochs , E. E. , Jenda , O. M. G. ( 1985 ). Balanced functors applied to modules . J. Algebra 92 : 303 – 310 .
  • Fields , K. L. ( 1970 ). On the global dimension of residue rings . Pacific J. Math. 32 : 345 – 349 .
  • Fuchs , L. , Salce , L. ( 2001 ). Modules over Non-Noetherian Domains . Math. Surveys and Monographs . Vol. 84 . Providence : Amer. Math. Society .
  • Göbel , R. , Trlifaj , J. ( 2006 ). Approximations and Endomorphism Algebras of Modules . Berlin , New York : Walter de Gruyter .
  • Goodearl , K. R. ( 1974 ). Ring Theory: Non-Singular Rings and Modules . New York : Dekker .
  • Guil Asensio , P. A. , Herzog , I. ( 2005 ). Sigma-cotorsion rings . Adv. Math. 191 : 11 – 28 .
  • Holm , H. ( 2008 ). Relative Ext groups, resolutions, and Schanuel classes . Osaka J. Math. 45 : 719 – 735 .
  • Holm , H. , Jørgensen , P. ( 2009 ). Cotorsion pairs induced by duality pairs , J. Commutative Algebra 1 : 621 – 633 .
  • Lam , T. Y. (1999). Lectures on Modules and Rings . New York , Heidelberg, Berlin : Springer-Verlag.
  • Mao , L. X. , Ding , N. Q. ( 2005 ). The cotorsion dimension of modules and rings. Abelian Groups, Rings, Modules, and Homological Algebra, Lect. Notes Pure Appl. Math. 249:217–233 .
  • Melkersson , L. ( 2005 ). Modules cofinite with respect to an ideal . J. Algebra 285 : 649 – 668 .
  • Ramamurthi , V. S. ( 1975 ). On the Injectivity and flatness of certain cyclic modules . Proc. Amer. Math. Soc. 48 : 21 – 25 .
  • Rotman , J. J. ( 1979 ). An Introduction to Homological Algebra . New York : Academic Press .
  • Stenström , B. ( 1975 ). Rings of Quotients . New York , Heidelberg, Berlin : Springer-Verlag .
  • Wang , M. Y. , Zhao , G. ( 2005 ). On maximal injectivity . Acta Mathematica Sinica (English Series) 21 : 1451 – 1458 .
  • Ware , R. ( 1971 ). Endomorphism rings of projective modules . Trans. Amer. Math. Soc. 155 : 233 – 256 .
  • Weibel , C. A. ( 1994 ). An Introduction to Homological Algebra . Cambridge Studies in Advanced Mathematics . Vol. 38 . Cambridge : Cambridge University Press .
  • Xu , J. ( 1995 ). Minimal injective and flat resolutions of modules over Gorenstein rings . J. Algebra 175 : 451 – 477 .
  • Xu , J. ( 1996 ). Flat Covers of Modules . Lecture Notes in Mathematics , 1634, New York, Heidelberg, Berlin : Springer-Verlag .
  • Xu , J. , Cheng , F. C. ( 1994 ). Homological dimensions over non-commutative semilocal rings . J. Algebra 169 : 679 – 685 .
  • Communicated by T. Albu.

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.