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 Generalized Inverses of Matrices over Rings 作者姓名： 韩瑞珠  陈建龙 作者单位： Southeast University，Nanjing Agricultural University Nanjing 210018，Nanjing 210014 摘    要： 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. 关 键 词： 矩阵  广义逆  对合函数  FP－单射环  Moore－Penrose逆  一元运算  正性  除环 Generalized Inverses of Matrices over Rings Han Ruizhu Chen Jianlong.Generalized Inverses of Matrices over Rings[J].Chinese Quarterly Journal of Mathematics,1992,7(4):40-47. Authors: Han Ruizhu Chen Jianlong Institution: [1]SoutheastUniversity,Nanjing,210018 [2]NanjingAgriculturalUniversity,Nanjing,210014 Abstract: Let R be a ring,*be an involutory function of the set of all finite matrices over R. In this pa-per,necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse,(1,4)-inverse,or Morre-Penrose inverse,relative to *.Some results about generalized inverses of matrices over division rings are generalized and improved. Keywords: generalized inverse  involutory function  FP-injective ring 本文献已被 CNKI 维普 等数据库收录！