E-Baer模  

E-Baer modules

作　　者：王利民[1] 陈宁茹[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2010年第1期14-16,共3页Journal of Northwest Normal University(Natural Science)

摘　　要：引入了E-Baer模的概念,并探讨了E-Baer模与Baer模的关系及E-Baer模的性质.证明了K-非奇异的E-Baer模是Baer模,同时证明了E-Baer模关于直和因子封闭,在一定条件下关于直和封闭;另外,E-Baer模的自同态环是右E-Baer模环.The concept of E-Baer modules is introduced, and the relations between E-Baer and Baer modules are studied. It is shown that K-nonsingular E-Baer modules are Baer modules, E-Baer modules are closed under direct summands, under some conditions they are closed under direct sums, and the endomorphism rings of E-Baer modules are right E-Baer rings.

关 键 词：E—Baer模(环) Baer模(环) 自同态环 零化子 

分 类 号：O153.3[理学—数学]