Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지

MODULES THAT SUBMODULES LIE OVER A SUMMAND

  • Min, Kang-Joo (Department of Mathematics Chungnam National University)
  • Received : 2007.11.09
  • Published : 2007.12.31
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Abstract

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.

Keywords