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On the Solvability of a System of Matrix Equations AX = B and BY = A Over Associative Rings

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We establish necessary and sufficient conditions for the solvability of a system of matrix equations AX = B and BY = A over associative rings.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    V. M. Prokip

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  1. V. M. Prokip
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 59, No. 4, pp. 24–30, October–December, 2016.

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Prokip, V.M. On the Solvability of a System of Matrix Equations AX = B and BY = A Over Associative Rings. J Math Sci 238, 22–31 (2019). https://doi.org/10.1007/s10958-019-04215-y

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  • DOI: https://doi.org/10.1007/s10958-019-04215-y

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