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Transforming matrices and divisors generated by them

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Over a commutative domain of elementary divisors, each matrix is a product of invertible matrices and a certain diagonal matrix, which are called, respectively, transforming matrices and a canonical diagonal form. We establish necessary and sufficient conditions when all divisors of the matrix that have a canonical diagonal form given beforehand are described using only transforming matrices.

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Authors and Affiliations

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

    V. P. Shchedryk

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  1. V. P. Shchedryk
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 52, No. 4, pp. 64–72, October–December, 2009.

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Shchedryk, V.P. Transforming matrices and divisors generated by them. J Math Sci 174, 196–208 (2011). https://doi.org/10.1007/s10958-011-0290-1

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  • DOI: https://doi.org/10.1007/s10958-011-0290-1

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