<Article>On the generalized t-full modules

スポンサーリンク

概要

• 論文の詳細を見る

• Let R be a ring with identity and t a left exact radical of R-mod. In this paper, we shall introduce the notion of the generalized t-full module and study its basic properties. And, it is shown that, for its corresponding Gabriel topology L(t) and a linear topology L= {_RI≦R |I≧t(R)}, the linear topology L(t)∩L is contained in ε, where εis the set of all essential left ideals of R. In particular, if R is generalized t-full as a left R-module, then L(t) ∩L is just equal to the set ε.

• 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数学教室

• 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

スポンサーリンク