Acta mathematica scientia,Series B

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DIAGONAL REDUCTION OVER sπr IDEALS

Chen Huanyin   

  1. Department of Mathematics, Hunan Normal University, Changsha 410006, China
  • Received:2005-12-20 Revised:1900-01-01 Online:2008-01-20 Published:2008-01-20
  • Contact: Chen Huanyin

Abstract:

This article introduces a new class of ideals, namely, the sπr ideals. It is shown that every regular square matrix over sπr ideals of a ring admits a diagonal reduction.

Key words: sπr Ideals, diagonal reduction, stable range one

CLC Number: 

  • 16E50
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