使用相关内射性对拟连续模的一个刻划(英文)

A Characterization of Quasi-Continuous Modules Using Relatively Injective

近二十年 ,许多环与模工作者对拟投射模与拟内射模做了各种推广与研究 .连续模与拟连续模就是拟内射模的一种推广 ,拟连续模要比连续模弱 .在 [2 ] ,作者对连续模与拟连续模做了深入的研究 .在这篇文章中 ,利用相关内射性给出了拟连续模的一个刻划 .

Continuous modules, Quasi continuous modules are generalization of injective modules, which were studied in . Quasi continuous modules are weaker than continuous modules. In this paper, we characterize Quasi continuous modules by relatively injective, and obtain a result.