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中文摘要：
设K为除环,Km×n是K上所有m×n矩阵的集合。设Α∈Km×n,满足rank（Αs＋1）=rank（Αs）的最小非负整数s称为Α的指标,记作Ιnd（Α）=s。设Α∈Kn×n,Ιnd（Α）=s,如果Χ∈Kn×n满足以下方程：（1）ΧΑΧ=Χ（2）ΑΧ=ΧΑ（3）Αs＋1Χ=Αs,则称Χ为Α的Drazin逆,记作Χ=ΑD。利用Fitting分解的方法,研究除环上分块矩阵{ΑΒ0C}的指标和Drazin逆的表示。
英文摘要：
Let Km×n be the set of all m×n matrices over a skew field K.The smallest nonnegative integer s satisfying rank（Αs＋1）=rank（Αs） is called the index of the matrix Α in Km×n,and is denoted by Ιnd（Α）=s.Let Α∈Kn×n,if Χ∈Kn×n satisfies the equations：（1）ΧΑΧ=Χ;（2）ΑΧ=ΧΑ;（3）Αs＋1Χ=Αs,where Ιnd（Α）=s,then Χ is called the Drazin inverse of Α,and is denoted by Χ=ΑD.The index and the Drazin inverse of partitioned matrix {ΑΒ 0C} over a skew field are researched by using the method of Fitting factorization.
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