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Some Properties of Dedekind Modules and Q-modules

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A Q-module is a module in which every nonzero submodule of M is a finite product of primary submodules of M. This paper is devoted to study some properties of Dedekind modules and Q-modules.

Abstract

A Q-module is a module in which every nonzero submodule of M is a finite product of primary submodules of M. This paper is devoted to study some properties of Dedekind modules and Q-modules.

참고문헌 (13)

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  9. Z. A. El-Bast, "Multiplication modules", Comm. Algebra, 16, pp.755~799 (1998)
  10. T. W. Hungerford, "Algebra" (1974), Springer-Verlag
  11. A. G. Naoum, "Dedekind modules", Comm. Algebra, 24(2), pp.397~412 (1996)
  12. R. Y. Sharp, "Steps in Commutative Algebra" (1990), Cambridge University Press
  13. P. F. Smith, "Some remarks on multiplication modules", Arch. Math, 50, pp.223~235 (1988)

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