Characterizations of m-EP elements in rings. Issue 6 (3rd June 2018)

• Record Type: Journal Article
• Authors: Zou, Honglin; Chen, Jianlong; Patrício, Pedro
• Is Part Of: Linear & multilinear algebra. Volume 66:Issue 6(2018)
• Page Start: 1244
• Page End: 1256
• Publication Date: 2018-06-03
• Subjects: m-EP -- Drazin inverse -- Moore–Penrose inverse -- core inverse -- ring; 15A09 -- 16W10 -- 16B99; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2017.1347136
• Languages: English
• ISSNs: 0308-1087

Abstract

Abstract: Let R be a ring with involution. In this paper, we extend the notions of m -EP matrices and m -EP operators to an arbitrary ring case. A number of new characterizations of m -EP elements in rings are presented. In particular, the existence criteria for 1-EP (i.e. EP) elements are obtained by means of the group inverse, Moore–Penrose inverse, and core inverse. Some properties of 2-EP are also given.