零正规NCD－环的Jacobson型根  

Jacobson type radicals of zero regular NCD ring

作　　者：黄沛金[1,2] 苏仲阳[1,2] 宋耀宗 

机构地区：[1]天津师范大学数学系 [2]河北职业技术师范学院

出　　处：《西南师范大学学报（自然科学版）》1996年第6期552-555,共4页Journal of Southwest China Normal University(Natural Science Edition)

摘　　要：对零正规ＮＣＤ－环Ｒ上的正规模，定义了ν－型模，ν∈｛０，１，２｝．还引进了Ｊａｃｏｂｓｏｎ型根Ｊν（Ｒ），并证明了Ｊν（Ｒ）是Ｒ的ν－本原理想的交，Ｒ／Ｊν（Ｒ）为Ｊν－半本原。To the regular module over the zero regular NCD ring R ,the definition of ν type module is given, ν∈{0,1,2} ,and the Jacobson type radical J ν(R) is introduced.Then the following theorems are proved: J ν(R) is the intersection of ν primitive ideals of R,R/J ν(R) is J ν semiprimitive,and R is J ν semiprimitive if and only if R is isomorphic to the subdirect product of ν primitive rings.

关 键 词：零正规NCD-环 正规律 Jacobson型根 

分 类 号：O153.3[理学—数学]