关于拟诣零内射模  

On quasi nil-injective modules

作　　者：赵玉娥[1] 杜先能[2] 陈正新[3] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071 [2]安徽大学数学科学学院,安徽合肥230039 [3]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《安徽大学学报（自然科学版）》2010年第5期1-4,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10671161)

摘　　要：给出诣零内射模的一些刻画,关于诣零内射环的一些结果被推广到这类模中,并且发展了拟诣零内射模的一些性质,拓展了一些已知的结果.结果表明:如果M是一个单序列的拟诣零内射右R-模,并且M是一个自生成子,S=End(MR)是一个NI环,那么SN(S)是左单序列的.特别地,如果S也是局部的,那么对任意的s∈S,有Ss=S,或Kers在M中是本质的.In this paper, the authors gave some characterizations of quasi nil-injective modules. Some results on nil-injective rings were extended to theoe modules, and some properties of quasi nil-injective module were developed, many of them extended known results. The authors showed that if M was a uniserial quasi nil- injective right R-module which was a self-generator and S = End（MR）was an NI ring. Then sN（S） was left uniserial. In particular, if S was also local, then for any s ∈ S,either Ss = S or Kers was essential in M.

关 键 词：拟诣零内射模 诣零内射环 单序列模 

分 类 号：O153.3[理学—数学]