54
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Rings Whose CS Modules Are Countably Σ-CS

Pages 5513-5523 | Received 01 Jun 2002, Published online: 31 Aug 2006

References

  • Al-attas , A. O. and Vanaja , N. 1997 . On sigma extending modules . Comm. Algebra , 25 ( 8 ) : 2365 – 2393 .
  • Anderson , F. W. and Fuller , K. R. 1974 . Rings and Categories of Modules Springer Verlag .
  • Dung , N. V. 1997 . On indecomposable decompositions of CS modules II . J. Pure Appl. Algebra , 119 : 971 – 977 .
  • Dung , N. V. and Smith , P. F. 1994 . Σ-CS modules . Comm. Algebra , 22 ( 1 ) : 83 – 93 .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. and Wisbauer , R. 1994 . Extending Modules , Pitman Research Notes in Mathematics Series 313
  • Faith , C. 1976 . Algebra II, Ring Theory Springer Verlag .
  • Gómez Pardo , J. L. and Guil Asensio , P. A. 2001 . Every Σ-CS module has an indecomposable decomposition . Proc. Amer. Math. Soc. , 129 : 947 – 954 .
  • Gómez Pardo , J. L. and Guil Asensio , P. A. 2003 . Indecomposable decompositions of modules whose direct sums are CS . J. Algebra , 262 ( 1 ) : 194 – 200 .
  • Huynh , D. V. and Rizvi , S. T. 2001 . “ On countably sigma-CS rings ” . In Algebra and Its Applications New Delhi, Chennai, Mumbai, Kolkata : Narosa Publishing House .
  • Huynh , D. V. , Jain , S. K. and López-Permouth , S. R. 1996 . On a class of non-Noetherian V-rings . Comm. Algebra , 24 ( 9 ) : 2839 – 2850 .
  • Huynh , D. V. , Jain , S. K. and López-Permouth , S. R. 2000 . Rings characterized by direct sums of CS modules . Comm. Algebra , 28 : 4219 – 4222 .
  • Jonah , D. 1970 . Rings with minimum condition for principal left ideals have the maximum condition for principal right ideals . Math. Z. , 113 : 106 – 112 .
  • Lam , T. Y. 1998 . Lectures on Modules and Rings Springer Verlag .
  • Mohammed , S. H. and Müller , B. J. 1990 . Continuous and Discrete Modules , London Math. Soc. Lecture Note Series Vol. 147 , Cambridge University Press .
  • Okado , M. 1984 . On the decomposition of extending modules . Math. Japonica , 29 : 939 – 941 .

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.