关于Г─环的强素根与强Jacobson性质  

On Strongly Prime Radical and Strongly Jacobson Property of Gamma Rings

作　　者：姚忠平[1] 王顶国[1] 

机构地区：[1]聊城师范学院教务处,曲阜师范大学数学系

出　　处：《信阳师范学院学报（自然科学版）》1995年第1期27-32,共6页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：本文证明了强素根是Г－环的特殊遗传根，若Ｒ是Г─环Ｍ的右算子环且左ｄｕｏ，则Ｓ（Ｍ）＝Ｓ（Ｒ）＊＇，．强ＪａｃｏｂｓｏｎГ─环定义为其所有同态象的素根与强素根一致，建立了Г─环Ｍ、矩阵Г＿（ｎ，ｍ）─环Ｍ＿（ｍ，ｎ）及Ｍ的右算子环的强Ｊａｃｏｂｓｏｎ性质之间的关系。Tke aims of the paper are to show that the strongly prime radical is a special hereditary radial and that if the right operator ring R of a P- ring M is left duo then S(m)=S(R)*. Strongly Jacobson P- rings are defined to be those P- rings in which the prime radical equals the strongly prime radial in all homornorphic images. Relationships between strongly Jacobson properties of P- ring M. P_(nm)- ring M_(mn)and the right operator ring R of M are established.

关 键 词：右算子环 强素根 Г环 强贾柯勃逊性质 

分 类 号：O153.3[理学—数学]