Generalized PP and Zip Subrings of Matrix Rings

• 作 者: LIU ZHONG-KUI QIAO HU-SHENG
• 机 构: DepartmentofMathematics
• 出 处: 数学研究通讯：英文版
• 发表日期: 2010年3期
• 关键词: 矩阵环 广义 PP 子环 交换环 丙烯环 p环 环和 generalized right pporing PP-ring right zip ring
• 基金项目: The NSF （10961021） of China, TRAPOYT and NWNU-KJCXGC212.

Let R be an abelian ring.We consider a special subring An,relative to α2,···,αn∈ REnd(R),of the matrix ring Mn(R) over a ring R.It is shown that the ring An is a generalized right PP-ring(right zip ring) if and only if the ring R is a gener