摘要
本文引进了纯拟内射模的概念,讨论了该模的一些主要性质,证明了纯拟内射模保持有限直和,进一步地利用这类新模刻画了正则环的特征。
In this paper, the pure quasi- injective modules are introduced and some properties of pure quasiinjective modules are studied,As an application, we prove that a commutation Ris repularing if and only if every finitely cogenerated Rmodule is pure quasi- injective.
出处
《数学理论与应用》
2008年第2期51-53,共3页
Mathematical Theory and Applications
关键词
纯拟内射模
纯子模
L-环
pure quasi- injecfive module pure submodule L- ring
