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Original Articles

Modules Whose Submodules are Essentially Embedded in Direct Summands

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Pages 460-469 | Received 21 Mar 2007, Published online: 09 Feb 2009

REFERENCES

  • Anderson , F. W. , Fuller , K. R. ( 1974 ). Rings and Categories of Modules . New York : Springer-Verlag .
  • Birkenmeier , G. F. , Tercan , A. ( 2007 ). When some complement of a submodule is a summand . Comm. Algebra 35 : 597 – 611 .
  • Bredon , G. E. ( 1993 ). Topology and Geometry . New York : Springer-Verlag .
  • Camillo , V. , Yousif , M. F. ( 1991 ). CS-modules with acc or dcc on essential submodules . Comm. Algebra 19 : 655 – 662 .
  • Dung , N. V. , Huynh , D. V. , Smith , P. F. , Wisbauer , R. ( 1994 ). Extending Modules . Pitman RN Mathematics 313 . Harlow : Longman .
  • Er , N. ( 1999 ). Direct sums and summands of weak CS-modules and continuous modules . Rocky Mount. J. Math. 29 ( 2 ): 491 – 503 .
  • Goodearl , K. R. ( 1972 ). Singular torsion and the splitting properties . Amer. Math. Soc. Memoirs 124 : 89 .
  • Lam , T. Y. ( 1999 ). Lectures on Modules and Rings . New York : Springer-Verlag .
  • Mohamed , S. H. , Muller , B. J. ( 1990 ). Continuous and Discrete Modules . London Math. Soc. Lecture Note Series Vol. 147 . Cambridge : Cambridge Univ. Press .
  • Smith , P. F. , Tercan , A. ( 1993 ). Generalizations of CS-modules . Comm. Algebra 21 : 1809 – 1847 .
  • Smith , P. F. , Tercan , A. ( 2004 ). Direct summands of modules which satisfy (C 11) . Algebra Colloq. 11 ( 2 ): 231 – 237 .
  • Tercan , A. ( 2001 ). Weak (C 11 +) modules with ACC or DCC on essential submodules . Taiwanese J. Math. 5 ( 4 ): 731 – 738 .
  • Tercan , A. ( 2004a ). Addendum and corrigendum to “Weak (C 11 +) modules with ACC or DCC on essential submodules.” Taiwanese J. Math. 8 ( 3 ): 557 – 558 .
  • Tercan , A. ( 2004b ). Weak (C 11)-modules and algebraic topology type examples . Rocky Mount. J. Math. 34 : 783 – 792 .
  • Communicated by T. Albu.

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