数学物理学报(英文版)

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WHITEHEAD GROUPS OF MODULE EXTENSIONS

陈焕艮,陈淼森   

  1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    This research is supported by the National Natural Science
    Foundation of China (19801012) and the Ministry of Education of China([2000] 65).

WHITEHEAD GROUPS OF MODULE EXTENSIONS

 CHEN Huan-Gen, CHEN Miao-Sen   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    This research is supported by the National Natural Science
    Foundation of China (19801012) and the Ministry of Education of China([2000] 65).

摘要:

When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the
authors calculate that K1(R 1 M) = U(R 1 M)/L(R 1 M). As applications, the authors
also calculate some Whitehead groups for exchange rings with artinian primitive factors.

Abstract:

When R satisfies (strong unit) 1-stable range and M is a R-R-bimodule, the
authors calculate that K1(R 1 M) = U(R 1 M)/L(R 1 M). As applications, the authors
also calculate some Whitehead groups for exchange rings with artinian primitive factors.

Key words: Whitehead group, module extension, (strong unit) 1-stable range

中图分类号: 

  • 16U99