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关于具有泛分解态射的广义Moore-Penrose逆 被引量:3

On Generalized Moore-Penrose Inverses of Morphisms with Universal Factorization
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摘要 本文讨论预加法范畴中态射的广义Moore-Perurose逆.给出了具有泛分解态射的广义Moore-Penrose逆存在的几个充要条件,并把结果应用到环上的矩阵中. The generalized Moore-Penrose inverses of morphisms over a preadditive category with an involution * are studied. Some necessary and sufficient conditions for existence of the generalized Moore-Penrose inverses of morphisms with universal factorization are given. And, some applications are given to matrices concerning factorizations over some rings.
作者 岑建苗
机构地区 宁波大学数学系
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2007年第1期117-126,共10页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金资助项目(10471069) 浙江省自然科学基金资助项目(102066)
关键词 态射 泛分解 广义MOORE-PENROSE逆 morphism universal factorization generalized Moore-Penrose inverse
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  • 1庄瓦金.范畴中态射的广义逆[J].数学学报,1988,31(1):39-45.
  • 2Davis D L, Robinson D W. Generalized inverses of morphism[J]. Linear Algebra Appl, 1972,5:319-328.
  • 3Puystjens R, Robinson D W. The Moore Penrose inverse of morphism with factorization [J]. Linear Algebra Appl, 1981, 40: 129-141.
  • 4Robison D W, Puystjens R. Generalized inverses of morphism with kernels[J]. Linear Algebra Appl, 1987, 96:65 -86.
  • 5Miao J M, Robinson D W. Group and Moore Penrose in verse of regular morphism with kernel and cokernel [J]. Linear Algebra Appl, 1988, 110:263 -270.
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  • 9Puystjens R,Robinson D W.The raoore-penrose inverses of a morphisms in an additive category[J].Communications In Algebra,1984,12(3):287-299.
  • 10Davis D L, Robinson D W. Generalized inverses of morphism[J]. Linear Algebra Appl., 1972,5:319-328.

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