Geodesic
Note on the core matrix partial ordering
Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 71-75

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Complementing the work of Baksalary and Trenkler [2], we announce some results characterizing the core matrix partial ordering.
Keywords: core inverse, core partial ordering, generalized inverse, group inverse, left star partial ordering, minus partial ordering, Moore-Penrose inverse, right sharp partial ordering 
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Mielniczuk, Jacek. Note on the core matrix partial ordering. Discussiones Mathematicae. Probability and Statistics, Tome 31 (2011) no. 1-2, pp. 71-75. http://geodesic.mathdoc.fr/item/DMPS_2011_31_1-2_a4/