98
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Lifting Property of Direct Sums of Hollow Modules

Pages 3110-3127 | Received 01 Apr 2006, Published online: 25 Sep 2007

REFERENCES

  • Anderson , F. W. , Fuller , K. R. ( 1992 ). Rings and Categories of Modules . Berlin : Springer .
  • Baba , Y. , Harada , M. ( 1990 ). On almost M-projectives and almost M-injectives . Tsukuba J. Math. 14 : 53 – 69 .
  • Chang , Ch. , Kuratomi , Y. ( 2004 ). Lifting Modules over Right Perfect Rings . Proc. of the 36th Symp. Ring Theory and Representation Theory . Yamanashi , pp. 38 – 41 .
  • Clark , J. , Lomp , C. , Vanaja , N. , Wisbauer , R. ( 2006 ). Lifting Modules . Frontiers in Math. Basel : Birkhäuser .
  • Dung , N. V. ( 1997 ). Modules with indecomposable decompositions that complement maximal direct summands . J. Algebra 197 : 449 – 467 .
  • Facchini , A. , Salce , L. ( 1990 ). Uniserial modules: Sums and isomorphisms of subquotients . Comm. Algebra 18 : 499 – 517 .
  • Ganesan , L. , Vanaja , N. ( 2002 ). Modules for which every submodule has a unique coclosure . Comm. Algebra 30 : 2355 – 2377 .
  • Harada , M. ( 1983 ). Factor Categories with Applications to Direct Decomposition of Modules . Lecture Notes in Pure and Applied Mathematics, 88 . New York : Marcel Dekker .
  • Ionue , T. ( 1983 ). Sum of hollow modules . Osaka J. Math. 20 : 331 – 336 .
  • Keskin , D. ( 2000 ). On lifting modules . Comm. Algebra 28 : 3427 – 3440 .
  • Kuratomi , Y. ( 2005 ). On direct sum of lifting modules and internal exchange property . Comm. Algebra 33 : 1795 – 1804 .
  • Lomp , C. (1996). On Dual Goldie Dimension . Diploma Thesis, University of Düsseldorf, Düsseldorf, Germany.
  • Mohamed , S. H. , Müller , B. J. ( 1990 ). Continuous and Discrete Modules . London Math. Soc. Lecture Notes Series 147 . Cambridge : Cambridge University Press .
  • Mohamed , S. H. , Müller , B. J. ( 2002 ). Ojective modules . Comm. Algebra 30 : 1817 – 1827 .
  • Mohamed , S. H. , Müller , B. J. ( 2004 ). Cojective modules . J. Egyptian Math. Soc. 12 : 83 – 96 .
  • Oshiro , K. ( 1983 ). Semiperfect modules and quasi-semiperfect modules . Osaka J. Math. 20 : 337 – 372 .
  • Oshiro , K. ( 1984 ). Lifting modules, extending modules and their applications to QF-rings . Hokkaido Math. J. 13 : 310 – 338 .
  • Takeuchi , T. ( 1976 ). On cofinite-dimensional modules . Hokkaido Math. J. 5 : 1 – 43 .
  • Warfield , R. B. ( 1969 ). A Krull–Schmidt theorem for infinite sums of modules . Proc. Amer. Math. Soc. 22 : 460 – 465 .
  • Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Reading : Gordon and Breach .
  • Communicated by R. Wisbauer.

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.