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Modules Which Are Lifting Relative To Module Classes

Abdullah Harmanci|Muhammet Tamer Kosan
경북대학교 자연과학대학 수학과|2008.03|Kyungpook Mathematical Journal|제48권 제1호|pp. 63-71

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키워드

X-lifting moduleX-supplemented module.
주제분류수학

초록

In this paper, we study a module which is lifting and supplemented relative to a module class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules and X-supplemented modules. Several properties of these modules are proved. We also obtain results for the case of specific classes of modules.

Abstract

In this paper, we study a module which is lifting and supplemented relative to a module class. Let R be a ring, and let X be a class of R-modules. We will define X-lifting modules and X-supplemented modules. Several properties of these modules are proved. We also obtain results for the case of specific classes of modules.

참고문헌 (14)

  1. R. Alizade, "Modules whose maximal submodules have supplements", Comm. Algebra, 29(6), pp.2389~2405 (2001)
  2. I. Al-Khazzi, "Classes of modules with many direct summands", J. Aust. Math. Soc. Ser. A, 59(1), pp.8~19 (1995)
  3. F. W. Anderson, "Rings and Categories of Modules" (1992), Springer-Verlag, New York
  4. S. Dogruoz, "Modules which are extending relative to module classes", Comm. Algebra, 26(6), pp.1699~1721 (1998)
  5. S. Dogruoz, "Quasi-continuous modules relative to module classes", Vietnam J. Math, 27(3), pp.241~251 (1999)
  6. S. Dogruoz, "Modules which are weak extending relative to module classes", Acta Math. Hung, 87, pp.1~10 (2000)
  7. J. L. Garcia Hernandez, "Semiperfect modules relative to a torsion theory", J. Pure Appl. Algebra, 43, pp.145~172 (1986)
  8. D. Keskin, "On lifting Modules", Comm. Algebra, 28(7), pp.3427~3440 (2000)
  9. C. Lomp, "On Dual Goldie dimension", 석사, pp.1996
  10. S. H. Mohammed, "Continous and Discrete Modules" (1990), London Math. Soc., LN 147, Cambridge Univ. Press
  11. K. Oshiro, "Modules with every subgenerated module lifting", Osaka J. Math, 32, pp.513~519 (1995)
  12. R. Wisbauer, "Foundations of Module and Ring Theory" (1991), Gordon and Breach, Reading
  13. Y. Zhou, "Generalizations of perfect, semiperfect and semiregular rings", Algebra Colloq, 7(3), pp.305~318 (2000)
  14. Y. Zhou, "Decomposing modules into direct sums of submodules with types", J. Pure and Appl. Algebra, 138, pp.83~97 (1999)

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