摘要
给出了强多余子模在补模中的性质,证明了如果B是M的强补子模且C/B是M/B的强补子模,则C是M的强补子模。同时,得到了右R-模的强根的若干性质,证明了如果环的根s.rad(RR)是Artin右模,则s.rad(RR)是幂零理想。
Some properties of strongly superfluous submodules in supplement modules were given. It was proven that if B was a strong supplement of M, C/B was a strong supplement submodules of M/B, then C would be a strong supplement submodule of M. Some properties of strong radical of right R-modules were obtained. It was shown that if strong radical s.rad（Ra ） of R was Artin, then s.rad/Ra ） would be nilpotent.
出处
《莆田学院学报》
2013年第5期22-24,69,共4页
Journal of putian University
基金
福建省自然科学基金资助项目(2009J01003)
福建师范大学本科教学改革研究资助项目(I201302015)
关键词
强多余子模
强根
幂零
strongly superfluous submodule
strong radical
nilpotent
