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Original Articles

δ-M-Small and δ-Harada Modules

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Pages 423-433 | Received 06 Oct 2006, Published online: 07 Apr 2008

REFERENCES

  • Al-Khazzi , I. , Smith , P. F. ( 1991 ). Modules with chain conditions on superflous submodules . Comm. Alg. 19 ( 8 ): 2331 – 2351 .
  • Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules . New York : Springer-Verlag .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. , Wisbauer , R. ( 1994 ). Extending Modules . Pitman Research Notes in Mathematics Series 313 . Harlow : Longman Scientific & Technical .
  • Goodearl , K. R. ( 1976 ). Ring Theory . New York : Marcel Dekker .
  • Harada , M. (1979). Non-small modules and non-cosmall modules. In: Van Oystaeyen , F. , ed. Ring Theory: Proceedings of the 1978 Antwerp Conference. New York : Marcel Dekker, pp. 669–690.
  • Jayaraman , M. , Vanaja , N. ( 2000 ). Harada modules . Comm. Alg. 28 : 3703 – 3726 .
  • Koşan , M. T. ( 2007 ). δ M -lifting and δ-supplemented modules . Algebra Coll. 14 ( 1 ): 53 – 60 .
  • Mohamed , S. H. , Müller , B. J. ( 1990 ). Continuous and Discrete Modules . London Math. Soc. LNS 147 . Cambridge : Cambridge Univ. Press .
  • Oshiro , K. ( 1984a ). Lifting modules, extending modules and their applications to generalized uniserial rings . Hokkaido Math. J. 13 : 339 – 346 .
  • Oshiro , K. ( 1984b ). Lifting modules, extending modules and their applications to QF-rings, Hokkaido Math. J. 13 : 310 – 338 .
  • Özcan, A. Ç. ( 2002 ). On GCO-modules and M-small modules, Commun. Fac. Sci. Univ. Ank. Series A1 51 ( 2 ): 25 – 36 .
  • Page , S. S. , Zhou , Y. ( 1994 ). On direct sums of injective modules and chain conditions . Canad. J. Math. 46 ( 3 ): 634 – 647 .
  • Rayar , M. ( 1982 ). On small and cosmall modules . Acta Math. Hungarica 39 : 389 – 392 .
  • Wisbauer , R. ( 1991 ). Foundations of Module and Ring Theory . Reading : Gordon and Breach .
  • Zhou , Y. ( 2000 ). Generalizations of perfect, semiperfect, and semiregular rings . Alg. Coll. 7 ( 3 ): 305 – 318 .
  • Communicated by R. Wisbaner.

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