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Characterizations of Several Modules Relative to the Class of B(M, X)

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Let M and X be right R-modules. We introduce several modules relative to the class of B(M;X) and we investigate relation among these modules. In this note, we show if M is X- -supplemented such that M = M1+M2 implies M1 and M2 are relatively B-projective, then M is an X-H-supplemented module.

Abstract

Let M and X be right R-modules. We introduce several modules relative to the class of B(M;X) and we investigate relation among these modules. In this note, we show if M is X- -supplemented such that M = M1+M2 implies M1 and M2 are relatively B-projective, then M is an X-H-supplemented module.

참고문헌 (14)

  1. N. Agayev, "Duo modules and duo rings", Far East J. Math. Sci., 20(3), pp.341~346 (2006)
  2. M. Alkan, "On Summand Sum and Summand Intersection Property of Modules", Turkish J. Math, 26, pp.131~147 (2002)
  3. 장재훈, "X-LIFTING MODULES OVER RIGHT PERFECT RINGS", 대한수학회보, 45(1), pp.59~66 (2008), 대한수학회
  4. J. Clark, "Lifting Modules. Supplements and Projectivity in Module Theory, Frontiers in Mathematics" (2006), Birkhauser
  5. J. L. Garcia, "Properties of direct summands of modules", Comm. Algebra, 17(1), pp.73~92 (1989)
  6. J. Hausen, "Modules with the summand intersection property", Comm. Algebra, 17(1), pp.135~148 (1989)
  7. A. Harmanci, "On -supplemented modules", Acta Math. Hungar., 83(1-2), pp.161~169 (1999)
  8. D. Keskin, "A relative version of the lifting property of modules", Algebra Colloq., 11(3), pp.361~370 (2004)
  9. M. T. Kosan, "H-co nitely supplemented modules", Vietnam J. Math., 35(2), pp.1~8 (2007)
  10. S. R. Lopez-Permouth, "On the relative (quasi-) conti- nuity of modules", Comm. Algebra, 17, pp.3497~3510 (1998)
  11. S. H. Mohammed, "Continous and Discrete Modules" (1990), Cambridge Univ. Press
  12. N. Orhan, "Characterizations of lifting modules in terms of cojective modules and the class of B(M,X)", Int. J. Math., 16(6), pp.647~660 (2005)
  13. Y. Talebi, "Strongly FI-lifting modules", Int. Electr. J. Algebra, 3, pp.75~82 (2008)
  14. R. Wisbauer, "Foundations of Module and Ring Theory" (1991), Gordon and Breach

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