关于环上矩阵乘积的{1,3}-逆、{1,4}-逆和Moore-Penrose逆的注记  

Some Notes on {1,3}-Inverses,{1,4}-Invereses and Moore-Penrose Inverse of Matrix Products in Rings

作　　者：柯圆圆 李怡铮 KE Yuanyuan;LI Yizheng(School of Mathematics and Computer Science,Jianghan University,Wuhan 430056,Hubei,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,Guizhou,China)

机构地区：[1]江汉大学数学与计算机科学学院,湖北武汉430056 [2]贵州财经大学数统学院,贵州贵阳550025

出　　处：《江汉大学学报(自然科学版)》2019年第5期389-394,共6页Journal of Jianghan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(11901245);贵州省教育厅青年科技人才成长项目(黔教合KY字[2018]155)

摘　　要：2015年,N.Castro-Gonzalez等给出了环上矩阵P是可逆时矩阵乘积PA是{1,3}-可逆的,AQ是{1,4}-可逆的和PAQ是MP-逆的充要条件及表达式,本文给出了环上矩阵A满足P′PA=A=AQQ′时,矩阵乘积PA是{1,3}-可逆的,AQ是{1,4}-可逆的,PAQ是MP-逆的充要条件及一些注记。In 2015,N.Castro-Gonzalez gave the necessary and sufficient conditions for the existence of a{1,3}-inverese of PA,{1,4}-inverse of AQ,and the Moore-Penrose inverse of a matrix product PAQ in rings when P is invertible,in this paper,the necessary and sufficient conditions for the existence of a{1,3}-inverese of PA,{1,4}-inverse of AQ,and the Moore-Penrose inverse of a matrix product PAQ in rings are characterized under the condition P′PA=A=AQQ′.

关 键 词：广义逆 {1 3}-逆 {1 4}-逆 MOORE-PENROSE逆 

分 类 号：O153.3[理学—数学]