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

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DOI

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
@article{10_4153_CMB_2016_045_7,
     author = {Chen, Jianlong and Zhu, Huihui and Patricio, Pedro and Zhang, Yulin},
     title = {Characterizations and {Representations} of {Core} and {Dual} {Core} {Inverses}},
     journal = {Canadian mathematical bulletin},
     pages = {269--282},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-045-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-045-7/}
}
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%J Canadian mathematical bulletin
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