摘要
设R是环,Q(R)是R上的四元数环,分别用J(R)与G(R)表示R的Jacobson根与Brown-Mceoy根,与表示R的左理想格与右理想格.本文证明了以下结果: Q(J(R))=J(Q(R)),Q(G(R))=G(Q(R)),Q,Q.
Let R be a ring and Q(R) be the quaternion ring on the ring R. In this paper the following results are proved: Q(J(R))=J(Q(R)), Q(G(R))=G(Q(R)), Q,Q.Here J(R), G(R), and denote the Jacobson radical and Brown-Mccoy radical, lattice of the left ideals of R and the lattice of right ideals of R respectively.
出处
《陕西师大学报（自然科学版）》
CSCD
1989年第2期13-15,共3页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
四元数环
理想格
根
quaternion rings
Lattice of ideals
Jacobson radical
Brown-Mccoy radical
