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形式三角矩阵环的可分性和稳定度
引用本文:黎奇升,佟文廷.形式三角矩阵环的可分性和稳定度[J].东北数学,2003,19(1).
作者姓名:黎奇升  佟文廷
作者单位:Department of Mathematics,Nanjing University,Nanjing,210093,Department of Mathematics and Computer Science,Jishou University,Jishou,Hunan,416000,Department of Mathematics,Nanjing University,Nanjing,210093
基金项目:The NSF(19771046)of China.
摘    要:In this paper we study the formal triangular matrix ring T =and give some necessary and sufficient conditions for T to be (strongly) separative, m-fold stable and unit 1-stable. Moreover, a condition for finitely generated projec-tive T-modules to have n in the stable range is given under the assumption that A and B are exchange rings.


Separativity and Stable Range for Formal Triangular Matrix Rings
LI Qisheng.Separativity and Stable Range for Formal Triangular Matrix Rings[J].Northeastern Mathematical Journal,2003,19(1).
Authors:LI Qisheng
Abstract:In this paper we study the formal triangular matrix ring T =and give some necessary and sufficient conditions for T to be (strongly) separative, m-fold stable and unit 1-stable. Moreover, a condition for finitely generated projec-tive T-modules to have n in the stable range is given under the assumption that A and B are exchange rings.
Keywords:triangular matrix ring  stable range condition  separability  
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