Some Results on Core Inverses of Block Matrices Over Skew Fields

D. Krishnaswamy; G. Sankari

doi:10.26713/cma.v13i1.1672

Authors

D. Krishnaswamy Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu, India https://orcid.org/0000-0002-1192-8520 (unauthenticated)
G. Sankari Department of Mathematics, Annamalai University, Annamalai Nagar, Tamil Nadu, India https://orcid.org/0000-0003-2295-1547 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v13i1.1672

Keywords:

Skew fields, Block matrix, Core inverse

Abstract

In this paper, necessary and sufficient conditions are given for the existence of the core inverse of the block matrix \(\begin{pmatrix}A&A\\B&0 \end{pmatrix}\) over any skew field, where \(A\), \(B\) are both square and \(rk(B) \geq rk(A)\). The representation of this core inverse and some relative additive results are also given.

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