On CETS-Modules in a torsion theory I

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概要

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• Patrik F . Smith [3] defined the CESS-modudes and obtained several basic results on these modules. In this paper, we generalize the CESS-modules in a torsion theory. Let t be a left exact preradical with following property. IF N is an essential submodule of M, then t(N)-t(M). Using this preradical, we show the following which is our main result : For a module M = M_l [○!+]M_2[○!+]・・・M_n, M is CETS if and only if every closure K of a torsion submodule of M with K∩M_i=0 for some 1≤i≤n, is a direct summand of M.

• 宇部工業高等専門学校の論文

著者

• Shigenaga Kazuo

  宇部工業高等専門学校

関連論文

• Essential Extensions of Modules in a Torsion Theory
• On a generalization of Papp's theorem
• On the generalized t-full modules
• A Note on M-Saturations I
• On CETS-Modules in a torsion theory I

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