东南大学学报（英文版）Issue(3)：427-430,4.DOI:10.3969/j.issn.1003-7985.2015.03.023
环中涉及幂等元的 Drazin 逆的表示
Representations of the Drazin inverse involving idempotents in a ring
摘要
Abstract
An element a of a ring R is called Drazin invertible if there exists b∈R such that ab =ba,bab =b,and a -a2 b is nilpotent.The element b above is unique if it exists and is denoted as aD .The equivalent conditions of the Drazin inverse involving idempotents in R are established.As applications, some formulae for the Drazin inverse of the difference and the product of idempotents in a ring are given.Hence,a number of results of bounded linear operators in Banach spaces are extended to the ring case.关键词
幂等元/Drazin 逆/谱幂等元Key words
idempotent/Drazin inverse/spectral idempotent分类
数理科学引用本文复制引用
朱辉辉,陈建龙..环中涉及幂等元的 Drazin 逆的表示[J].东南大学学报（英文版）,2015,(3):427-430,4.基金项目
The National Natural Science Foundation of China (No．11371089),the Specialized Research Fund for the Doctoral Pro-gram of Higher Education (No．20120092110020),the Scientific Inno-vation Research of College Graduates in Jiangsu Province (No．CX-LX13-072),the Scientific Research Foundation of Graduate School of Southeast University,the Fundamental Research Funds for the Central Universities (No．22420135011)． （No．11371089）
