关于右R-模的强根  

On Stiong Radical of Right R-modules

作　　者：尹芳芳[1] 周德旭[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

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)

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.

关 键 词：强多余子模 强根 幂零 

分 类 号：O153.3[理学—数学]