Geodesic
Characterizations and Representations of Core and Dual Core Inverses
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 269-282

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, double commutativity and the reverse order law for the core inverse are considered. Then new characterizations of the Moore–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.
DOI : 10.4153/CMB-2016-045-7
Mots-clés : 15A09, 15A23, regularities, group inverses, Moore-Penrose inverses, core inverses, dual core inverses, Dedekind-finite rings 
Chen, Jianlong; Zhu, Huihui; Patricio, Pedro; Zhang, Yulin. Characterizations and Representations of Core and Dual Core Inverses. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 269-282. doi: 10.4153/CMB-2016-045-7
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