191
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Rings all of whose right ideals are U-modules

&
Pages 1983-1995 | Received 15 Feb 2017, Published online: 15 Sep 2017

References

  • Byrd, K. A. (1979). Right self-injective rings whose essential ideals are two-sided. Pac. J. Math. 82:23–41.
  • Beidar, K. I., Fong, Y., Ke, W.-F., Jain, S. K. (2002). An example of right q-rings. Isr. J. Math. 127:303–316.
  • Beidar, K. I., Jain, S. K. (2004). The structure of right continuous right π-rings. Commun. Algebra 32(1):315–332.
  • Clark, J., Huynh, D. V. (2007). Simple rings with injectivity conditions on one-sided ideals. Bull. Aust. Math. Soc. 76:315–320.
  • Clark, J., Lomp, C., Vanaja, N., Wisbauer, R. (2006). Lifting Modules. Basel-Boston-Berlin: Birkhauser Verlag.
  • Ding, N., Ibrahim, Y., Yousif, M., Zhou, Y. (2017). C4-modules. Commun. Algebra 45(4):1727–1740.
  • Dung, N. V., Huynh, D. V., Smith, P. F., Wisbauer, R. (1994). Extending Modules. Longman Scientific and Technical.
  • Fuchs, L. (1969). On quasi-injective modules. Ann. Sculoa Norm. Sup. Pisa 23:541–546.
  • Guil Asensio, P. A., Srivastava, A. (2013). Automorphism-invariant modules satisfy the exchange property. J. Algebra 388:101–106.
  • Hill, D. A. (1973). Semiperfect q-rings. Math. Ann. 200:113–121.
  • Ibrahim, Y., Yousif, M. F. (2017). U-modules. Comm. Algebra, doi:https://doi.org/10.1080/00927872.2017.1339064.
  • Ivanov, G. (1972). Non-local rings whose ideals are quasi-injective. Bull. Aust. Math. Soc. 6:45–52.
  • Ivanov, G. (1975). Non-local rings whose ideals are quasi-injective: Addendum. Bull. Aust. Math. Soc. 12:159–160.
  • Jain, S. K., López-Permouth, S. R., Syed, R. (1999). Rings with quasi-continuous right ideals. Glasg. Math. J. 41:167–181.
  • Jain, S. K., Mohamed, S., Singh, S. (1969). Rings in which every right ideal is quasi-injective. Pac. J. Math. 31:73–79.
  • Khurana, D., Lam, T. Y. (2005). Rings with internal cancellation. J. Algebra 284:203–235.
  • Koşan, M. T., Quynh, T. C., Srivastava, A. K. (2016). Rings with each right ideal automorphism-invariant. J. Pure Appl. Algebra 220:1525–1537.
  • Lam, T. Y. (2004). A crash course on stable range, cancellation, substitution, and exchange. J. Algebra Appl. 3:301–343.
  • Lam, T. Y. (2001). A First Course in Noncommutative Rings. 2nd ed. Graduate Texts in Math., Vol. 131. Berlin-Heidelberg-New York: Springer-Verlag.
  • Lee, T. K., Zhou, Y. (2013). Modules which are invariant under automorphisms of their injective hulls. J. Alg. Appl. 12(2): 1250159, 9 pp.
  • Mohamed, S. H. (1970). Rings whose homomorphic images are q-rings. Pac. J. Math. 35:720–735.
  • Mohamed, S. H. (1972). q-rings with chain conditions. J. Lond. Math. Soc. 2:455–460.
  • Mazurek, R., Nielsen, P. P., Ziembowski, M. (2015). Commuting idempotents, square-free modules, and the exchange property. J. Algebra 444:52–80.
  • Mohamed, S. H., Müller, B. J. (1990). Continuous and Discrete Modules. Cambridge, UK: Cambridge Univ. Press.
  • Nicholson, W. K., Yousif, M. F. (2003). Quasi-Frobenius Rings. Cambridge Tracts in Math., Vol. 158. Cambridge, UK: Cambridge Univ. Press.
  • Swan, R. G. (1962). Vector bundles and projective modules. Trans. Amer. Math. Soc. 105:264–277.

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.