Baer根的S-单环  

S-simple Rings of Baer Radical

作　　者：雍锡琪[1] 

机构地区：[1]安徽大学数学系,安徽合肥230039

出　　处：《安徽大学学报（自然科学版）》2000年第4期7-9,共3页Journal of Anhui University(Natural Science Edition)

摘　　要：证明Baer根的S -单环R有单位元的充要条件为R是有单位元的单环 .从而证实 :用Baer根的S 单环构造不平凡的原子根 。Let r denote a radical class,S a semisimple class determined by r.We defined that the ring R is S-simple ring if R∈S and R/IS for every non-zero proper ideal I of R. Let S r denote the class of all the S-simple rings,β the Baer lower nil radical.Theorem 1.R∈S β and R has an identical element iff R is a simple ring with identical element.Theorme 2.S β is not a special class.

关 键 词：单位元 BAER根 S-单环 原子根 结合环 真同态象 超幂零根格 同构 

分 类 号：O153.3[理学—数学]