Acta mathematica scientia,Series A

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Generalized Inverses of Matrices on an Arbitrary Division Ring

 LIU Yong-Hui, SHU Chao, CHEN Guan-Liang   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(10371044)资助

Abstract:

In this paper, generalized inverses of matrices on an arbitrary division ring ar e studied by using projector operator. The characterization and representation t heory of {2} inverses with prescribed range and null space are established. As  an application, some new representation forms of ρ MP inverse, group inverse and Drazin inverse are obtained.

Key words: Division ring; Generalized inverse

CLC Number: 

  • 15A09
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