58
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

An Essential Extension with Nonisomorphic Ring Structures II

, &
Pages 3986-4004 | Received 05 Jul 2006, Published online: 13 Dec 2007

REFERENCES

  • Birkenmeier , G. F. , Müller , B. J. , Rizvi , S. T. ( 2002a ). Modules in which every fully invariant submodule is essential in a direct summand . Comm. Algebra 30 : 1395 – 1415 .
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( 2002b ). Modules with fully invariant submodules essential in fully invariant summands . Comm. Algebra 30 : 1833 – 1852 .
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( 2006a ). Ring hulls and applications . J. Algebra 304 : 633 – 665 .
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( 2006b ). An essential extension with noniso-morphic ring structures . Contemp. Math., Amer. Math. Soc. 419 : 29 – 48 .
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( preprint a ). Hulls of semiprime rings with applications to C*-algebras .
  • Birkenmeier , G. F. , Park , J. K. , Rizvi , S. T. ( preprint b). An injective hull with distinct ring structures.
  • Chatters , A. W. , Hajarnavis , C. R. ( 1977 ). Rings in which every complement right ideal is a direct summand . Quart. J. Math. Oxford 28 : 61 – 80 .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. , Wisbauer , R. ( 1994 ). Extending Modules . Harlow : Longman .
  • Lam , T. Y. ( 1999 ). Lectures on Modules and Rings . Berlin-Heidelberg-New York : Springer-Verlag .
  • Menal , P. , Vamos , P. ( 1989 ). Pure ring extensions and self FP-injective rings . Proc. Cambridge Phil. Soc. 105 : 447 – 458 .
  • Osofsky , B. L. ( 1964a ). Homological Properties of Rings and Modules . New Jersey : Doctoral Dissertation, Rutgers University .
  • Osofsky , B. L. ( 1964b ). On ring properties of injective hulls . Canad. Math. Bull. 7 : 405 – 413 .
  • Osofsky , B. L. ( 1967 ). A non-trivial ring with non-rational injective hull . Canad. Math. Bull. 10 : 275 – 282 .
  • Osofsky , B. L. ( 2003 ). Personal communication to S. T. Rizvi .
  • 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.