A Note on M-Saturations I

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概要

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• The puipose of this note is two-fold. First we define, for a fixed module M, the M-saiuration of a left Gabriel topology and investigate the relation between localizations determined by the topology and its M-saturation. As a consequent we give a generalization of a result due to Popescu and Spireu [5]. Secondly, in a commutative ring R, we study the relation between the saturation of a given multiplicative system and the R -saturation of the topology corresponding to the original system.

• 宇部工業高等専門学校の論文
• 1978-03-15

著者

• 重永 和男

  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

• On a remark of quasi-continuous modules and χ-extending modules
• t-e-A-injective module について
• On Some Prime Modules
• 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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