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Characterizations of the Image-Kernel (p, q)-Inverses

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Abstract

Necessary and sufficient conditions for the existence of the image-kernel (p, q)-inverses in a ring with involution are investigated, and some new expressions for these inverses are given. Several new properties of the image-kernel (p, q)-inverses are presented too.

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Acknowledgments

The author would like to thank the anonymous referees for carefully reading the paper. The author is supported by the Ministry of Education and Science, Republic of Serbia, Grant No. 174007.

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Authors and Affiliations

  1. Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000, Niš, Serbia

    Dijana Mosić

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  1. Dijana Mosić
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Correspondence to Dijana Mosić.

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Communicated by Shiping Liu.

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Mosić, D. Characterizations of the Image-Kernel (p, q)-Inverses. Bull. Malays. Math. Sci. Soc. 41, 91–104 (2018). https://doi.org/10.1007/s40840-015-0242-x

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  • DOI: https://doi.org/10.1007/s40840-015-0242-x

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