Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 20 Issue 4
- /
- Pages.569-575
- /
- 2007
- /
- 1226-3524(pISSN)
- /
- 2383-6245(eISSN)
MODULES THAT SUBMODULES LIE OVER A SUMMAND
- Min, Kang-Joo (Department of Mathematics Chungnam National University)
- Received : 2007.11.09
- Published : 2007.12.31
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.