충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제20권4호
  • /
  • Pages.569-575
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  • 2007
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  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

MODULES THAT SUBMODULES LIE OVER A SUMMAND

  • Min, Kang-Joo (Department of Mathematics Chungnam National University)
  • 투고 : 2007.11.09
  • 발행 : 2007.12.31
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초록

Let M be a nonzero module. M has the property that every submodule of M lies over a direct summand of M. We study some properties of such a module. The endomorphism ring of such a module is also studied. The relationships of such a module to the semi-regular modules, and to the semi-perfect modules are described.

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