FP-内射环的一个特征

A Characteristic of FP-injective Rings

中文关键词:  Fp-内射模  投射模  闭子模。

中文摘要:

      本文首次利用投射模给出了右ＦＰ-内射环的一个外部特征，即Ｒ为右ＦＰ-内射环当且仅当投射左Ｒ-模的有限生成子模为闭子模。

英文摘要:

      In this paper, we give an external characterization of righL FP-injective rings by meansof projective inodules.That is, R is a right FP-injective ring if and only if every finitelygenerated submodule of projective left R-module is closed.