4 papers
New results on EP elements in rings with involution
Long Wang, Dijana Mosic, Yuefeng Gao
In this paper, we mainly give characterizations of EP elements in terms of equations. In addition, a related notion named a central EP element is defined and investigated. Finally,…
Continuity of the core-EP inverse and its applications
Yuefeng Gao, Jianlong Chen, Pedro Patricio
In this paper, firstly we study the continuity of the core-EP inverse without explicit error bounds by virtue of two methods. One is the rank equality, followed from the classical…
Right core inverse and the related generalized inverses
Long Wang, Dijana Mosic, Yuefeng Gao
In this paper, we introduce the notion of a (generalized) right core inverse and give its characterizations and expressions. Then, we provide the relation schema of (one-sided) cor…
Representations and properties of the W-weighted core-EP inverse
Yuefeng Gao, Jianlong Chen, Pedro Patricio
In this paper, we investigate the weighted core-EP inverse introduced by Ferreyra, Levis and Thome. Several computational representations of the weighted core-EP inverse are obtain…