Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (1): 103-109.

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 The Generalized Inverse of Morphism in Preadditive Category

 LIU Xiao-Ji, LIU San-Yang, WANG Zhi-Jian   

  1. 广西民族学院计算机与信息科学学院\ 广西南宁 530006 西安电子科技大学数学系\ 陕西西安 710071 苏州科技学院数学系\ 江苏苏州 215009
  • Online:2005-02-25 Published:2005-02-25
  • Supported by:

    国家自然科学基金(69972036)资助

Abstract:

In this paper, the authors research the generalized inverses of morphisms in preadditive category, give the characterization and expression for the MoorePenrose and Drazin inverse, and obtain the necessary and sufficient conditions for the  existence of core nilpotent decomposition for morphism.

Key words: Morphism, Category, Core nilpotent decomposition.

CLC Number: 

  • 15A09
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