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Separativity and Stable Range for Formal Triangular Matrix Rings 被引量:3

Separativity and Stable Range for Formal Triangular Matrix Rings
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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. 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.
出处 《Northeastern Mathematical Journal》 CSCD 2003年第1期51-56,共6页 东北数学(英文版)
基金 The NSF(19771046)of China.
关键词 triangular matrix ring stable range condition SEPARABILITY triangular matrix ring, stable range condition, separability
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  • 1P. Ara,K. R. Goodearl,K. C. O’Meara,E. Pardo.Separative cancellation for projective modules over exchange rings[J].Israel Journal of Mathematics.1998(1)

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