Characterizations and Representations of Core and Dual Core Inverses
By Jianlong Chen, Huihui Zhu, Pedro Patrício, Yulin Zhang. Canadian mathematical bulletin, 2016
80 citations recorded by the source corpus.
Abstract 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.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/0c2f7b6d78b2a5b5519632e2b7685ba7751c5194
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In Applied Mathematics
In Atomic and Molecular Physics, and Optics
In Computational Theory and Mathematics
Citations in the corpus
- Characterizations of core and dual core inverses in rings with involution (2016, background): “itian element (or a projection) psuch that pa= ap= 0, an +pis invertible. In [6], P. Patri´cio et al. discussed the characterizations and expressions of Moore-Penrose inverse of a regular element. In [7], J.L. Chen et al. gave the characterizations and expressions of group inverse and core inverse o”