Characterizations and Representations of Core and Dual Core Inverses in rings

In this paper, double commutativity and the reverse order law for the core inverse are considered._en new characterizations of theMoore–Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual c...

Full description

Bibliographic Details
Main Author: Chen, Jianlong (author)
Other Authors: Zhu, Huihui (author), Patrício, Pedro (author), Zhang, Yulin (author)
Format: article
Language:eng
Published: 2017
Subjects:
Core inverse
Moore–Penrose inverse
Regularities
Group inverses
Dual core inverses
Dedekind-finite rings
Moore-Penrose inverses
core inverses
Ciências Naturais::Matemáticas
Science & Technology
Online Access:http://hdl.handle.net/1822/47036
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/47036
Description
Summary:In this paper, double commutativity and the reverse order law for the core inverse are considered._en new characterizations of theMoore–Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.

Similar Items