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《数学季刊》 1992年04期
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Generalized Inverses of Matrices over Rings

韩瑞珠  陈建龙  
【摘要】:正 Let R be a ring, * be an involutory function of the set of all finite matrices over R. In this paper, necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse, (1,4)-inverse, or Moore-P enrose inverse, relative to *. Some results about generalized inverses of matrices over division rings are generalized and improved.
【作者单位】Southeast

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