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Articles

Rings whose cyclic modules are lifting and ⊕-supplemented

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Pages 4918-4927 | Received 15 Aug 2017, Published online: 23 Apr 2018

References

  • Anderson, F. W., Fuller, K. R. (1974). Rings and Categories of Modules. Graduate Texts in Mathematics, Vol. 13. New York, Heidelberg: Springer-Verlag.
  • Chase, S. U. (1960). Direct product of modules. Trans. Am. Math. Soc. 97:457–473.
  • Clark, J., Lomp, C., Vanaja, N., Wisbauer, R. (2006). Lifting Modules. Basel, Boston, Berlin: Birkhauser Verlag.
  • Harmanci, A., Keskin, D., Smith, P. F. (1999). On ⊕-supplemented modules. Acta Math. Hungar. 83(1–2):161–169.
  • Huynh, D. V., Dung, N. V., Wisbauer, R. (1991). On modules with finite uniform and Krull dimension. Arch. Math. 57:122–132.
  • Idelhadj, A., Tribak, R. (2003). On some properties of ⊕-supplemented modules. Int. J. Math. Math. Sci. 69:4373–4387.
  • Kasch, F., Mares, E. A. (1966). Eine Kennzeichnung semi-perfekter moduln. Nagoya Math. J. 27:525–529.
  • Keskin, D., Smith, P. F., Xue, W. (1999). Rings whose modules are ⊕-supplemented. J. Algebra 218(2):470–487.
  • Koehler, A. (1970). Rings for which every cyclic module is quasi-projective. Math. Ann. 189:311–316.
  • Lam, T. Y. (1991). A First Course in Noncommutative Rings. Graduate Texts in Mathematics, Vol. 131. New York: Springer-Verlag.
  • Mohamed, S., Müller, B. J. (1990). Continuous and Discrete Modules. Cambridge: Cambridge University Press.
  • Nakayama, T. (1941). On Frobenius algebras. Ann. Math. 42:1–21.
  • Nguyen, X. H., Yousif, M. F., Zhou, Y. (2017). Rings whose cyclics are D3-modules. J. Algebra Appl. 16(8): 1750184.
  • Oshiro, K., Wisbauer, R. (1995). Modules with every subgenerated module lifting. Osaka J. Math. 32:513–519.
  • Osofsky, B. L., Smith, P. F. (1991). Cyclic modules whose quotients have all complement submodules direct summands. J. Algebra 139:342–354.
  • Sandomierski, F. L. (1969). On semiperfect and perfect rings. Proc. Am. Math. Soc. 21:205–207.
  • Vanaja, N., Purav, V. M. (1992). Characterization of generalized uniserial rings in terms of factor rings. Commun. Algebra 20:2253–2270.

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