Acta mathematica scientia,Series A

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Injective Ideals of Regular Rings

Chen Huanyin; Liu Dayong   

  1. (Department of Mathematics, Hunan Normal University, Changsha 410081)
  • Received:2006-05-19 Revised:2007-08-29 Online:2009-02-25 Published:2009-02-25
  • Contact: Chen Huanyin

Abstract: Let R be regular, A∈ Mn(R). If Mn(R)AMn(R) is injective as a right Mn(R)-module,
we prove that there exist U, V∈ GLn(R) such that UAV is a diaogonal matrix.

Key words: Injective ideal, Separative ideal, Regular ring.

CLC Number: 

  • 16E50
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