论文标题
关于投影模块的注释
A Note on Projective Modules
论文作者
论文摘要
该说明性注释探讨了与Matlis为注射模块开发的射击模块的理论。给定一个完美的戒指$ r $，我们提出了不可兼容的投影$ r $模型的特征，并描述了投影不可分解的$ r $ modules和简单的$ r $ $模型之间的一对一信件。
This expository note delves into the theory of projective modules parallel to the one developed for injective modules by Matlis. Given a perfect ring $R$, we present a characterization of indecomposable projective $R$-modules and describe a one-to-one correspondence between the projective indecomposable $R$-modules and the simple $R$-modules.
