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Excellent扩张和弱维数
引用本文:方洪锦. Excellent扩张和弱维数[J]. 数学杂志, 1994, 14(3): 335-338
作者姓名:方洪锦
作者单位:扬州师院
摘    要:在这篇文章里,我们证明了,当环S是R的excellent扩张,M是S-模时,M做为S-模的弱维数与M做为R-模的弱维数相等。

关 键 词:环 Excellent 扩张 弱维数

EXCELLENT EXTEN SIONS AND WEAK DIMENSIONS
Fang Hongjin. EXCELLENT EXTEN SIONS AND WEAK DIMENSIONS[J]. Journal of Mathematics, 1994, 14(3): 335-338
Authors:Fang Hongjin
Affiliation:Yangzhou Teachers College
Abstract:ln this papsr,we prove that the weak dimension of M as an Smodule is equsI to the weak dimension M as an R-module ,and the weak dimension of S is equal to the weak dimension of R, when S in an excellent extension of R and M is an S-module.
Keywords:Excellent extension of ring  Weak dimension.
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