227
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Modules in Which Inverse Images of Some Submodules are Direct Summands

, &
Pages 1496-1513 | Received 17 Dec 2013, Published online: 02 Mar 2016

REFERENCES

  • Agayev, N., Halicioglu, S., Harmanci, A. (2012). On rickart modules. Bull. Iran. Math. Soc. 38(2):433–445.
  • Anderson, F. W., Fuller, K. R. (1992). Rings and Categories of Modules, New York: Springer-Verlag.
  • Asgari, Sh., Haghany, A. (2011). t-Extending Modules and t-Baer Modules. Comm. Algebra 39:1605–1623.
  • Berberian, S. K. (1972). Baer*-Rings, Berlin: Springer-Verlag.
  • Birkenmeier, G. F., Park, J. K., Rizvi, S. T. (2013). Extensions of Rings and Modules New York: Springer Science+ Business Media.
  • Dung, N. V., Huynh, D. V., Smith, P. F., Wisbauer, R. (1994). Extending Modules, Pitman Research Notes in Math. Ser. 313.
  • Ebrahimi Atani, S., Khoramdel, M., Dolati Pish Hesari, S. (2012). T-rickart modules. Colloq. Math. 128(1):87–100.
  • Hattori, A. (1960). A foundation of the torsion theory over general rings. Nagoya Math. J. 17:147–158.
  • Kaplansky, I. (1968). Rings of Operators. New York-Amsterdam: W. A. Benjamin, Inc..
  • Lam, T. Y. (1999). Lectures on Modules and Rings. New York: Springer-Verlag.
  • Lee, G., Rizvi, S. T., Roman, C. S. (2010). Rickart modules. Comm. Algebra 38(11):4005–4027.
  • Lee, G., Rizvi, S. T., Roman, C. S. (2012). Direct sums of rickart modules. J. Algebra 353:62–78.
  • Maeda, S. (1960). On a ring whose principal right ideals generated by idempotents form a lattice. J. Sci. Hiroshima Univ. Ser. A 24:509–525.
  • Nicholson, W. K., Zhou, Y. (2005). Strong lifting. J. Algebra 285:795–818.
  • Raggi, F., Montes, J. R., Wisbauer, R. (2005). Coprime radicals and modules. J. Pure Appl. Algebra 200:51–69.
  • Rickart, C. E. (1946). Banach algebras with an adjoint operations. Ann. of Math. (2) 47(3):528–550.
  • Rizvi, S. T., Roman, C. S. (2005). Baer property of modules and applications. Advances in Ring Theory 225–241.
  • Yousif, M. F., Zhou, Y. (2002). Semiregular, semiperfect and perfect rings relative to an ideal. Rocky Mountain J. Math. 32(4):1651–1671.
  • Ware, R. (1971). Endomorphism rings of projective modules. Trans. Amer. Math. Soc. 155:233–256.

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.