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《JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION)》 1996-01
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Γ-inverse of Matrix over Skew Field

Liu Xiaoji;Jiang Shengyuan (Department of Mathematics,Jiangxi Normal University.Nanchang 330027)  
n this paper we study the Γ-inverse of matrix over a skew field D,and get the following results: (1) Matrix A has a Γ{ 1,2,3,4 }inverse for a self-conjugate involution matrix P,over D if and only if rank(AA)=rank(A A)=rankA. It extend previous result;(2) The characterizations of A (1},A {2} and A {1, 2}over an arbitrary field are extend to a skew field D respectively.
【Fund】: 江西省自然科学基金
【CateGory Index】: O151.21
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