Some Results on Core Inverses of Block Matrices Over Skew Fields

Authors

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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References

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Published

23-05-2022
CITATION

How to Cite

Krishnaswamy, D., & Sankari, G. (2022). Some Results on Core Inverses of Block Matrices Over Skew Fields. Communications in Mathematics and Applications, 13(1), 53–73. https://doi.org/10.26713/cma.v13i1.1672

Issue

Vol. 13 No. 1 (2022)

Section

Research Article

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