331
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

On dual of square free modules

, , &
Pages 3365-3376 | Received 14 May 2017, Published online: 17 Jan 2018

References

  • Anderson, F. W., Fuller, K. R. (1974). Rings and Categories of Modules. New York: Springer-Verlag.
  • Baba, Y., Oshiro, K. (2009). Classical Artinian Rings and Related Topics. Hackensack, New Jersey: World Scientific Publishing Co. Pte. Ltd.
  • Camillo, V. (1975). Distributive modules. J. Algebra 36:16–25.
  • Clark, J., Lomp, C., Vanaja, N., Wisbauer, R. (2006). Lifting Modules. Supplements and Projectivity in Module Theory, Frontiers in Mathematics. Boston: Birkhäuser.
  • Cohn, P. M. (1966). On a class of binomial extensions. Illinois J. Math. 10:418–424.
  • Ding, N., Ibrahim, Y., Yousif, M., Zhou, Y. (2017). D4-modules. J. Algebra Appl. 16(5):1750166-1–1750166-25.
  • Facchini, A. (1996). Krull-Schmidt fails for serial modules. Trans. Am. Math. Soc. 348:4561–4575.
  • Facchini, A. (1998). Module Theory. Endomorphism Rings and Direct Sum Decompositions in Some Classes of Modules. Basel: Birkhüuser.
  • Facchini, A., Herbera, D., Sakhajev, I. (2003). Finitely generated flat modules and a characterizations of semiperfect rings. Commun. Algebra 31:4195–4214.
  • Izurdiaga, M. C. (2004). Supplement submodules and a generalization of projective modules. J. Algebra 277:689–702.
  • Kamimura, H., Kikumasa, I., Kuratomi, Y. (2016). On direct projective H-supplemented modules. Commun. Algebra 44:5299–5308.
  • Keskin Tütüncü, D., Nematollahi, M. J., Talebi, Y. (2011). On H-supplemented modules. Algebra Colloq. 18:915–924.
  • Kikumasa, I., Kuratomi, Y. (2017). On H-supplemented modules over a right perfect ring. To appear in Commun. Algebra.
  • Kuratomi, Y. (2014). Direct sums of H-supplemented modules. J. Algebra Appl. 13:1350075-1–1350075-12.
  • Kuratomi, Y. (2016). H-supplemented modules and generalizations of quasi-discrete modules. Commun. Algebra 44:2747–2759.
  • Lam, T. Y. (1995). Exercises in Classical Ring Theory, 2nd ed. Berlin-Heidelberg-New York: Springer-Verlag.
  • Mohamed, S. H., Müller, B. J. (1990). Continuous and Discrete Modules, London Mathematical Society Lecture Note Series, Vol. 147. Cambridge: Cambridge University Press.
  • Mohamed, S. H., Singh, S. (1977). Generalizations of decomposition theorems known over perfect rings. J. Austral. Math. Soc. 24:496–510.
  • Oshiro, K. (1983). Semiperfect modules and quasi-semiperfect modules. Osaka J. Math. 20:337–372.
  • Stephenson, W. (1974). Modules whose lattice of submodules is distributive. Proc. London Math. Soc. 28:291–310.
  • Wisbauer, R. (1991). Foundations of Module and Ring Theory. Reading: Gordon and Breach.
  • Xue, W. (1992). Rings with Morita Duality. Berlin, New York: Springer-Verlag.
  • Yousif, M., Amin, I., Ibrahim, Y. (2014). D3-modules. Commun. Algebra 42:578–592.

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.