Abstract
We propose a structural criterion for divisibility of matrices over a commutative principal ideal domain. Under certain restrictions we exhibit a method of finding all the non-associate divisors that have a prescribed canonical diagonal form.
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Additional information
Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 3, 1997, pp. 13–19.
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Shchedrik, V.P. On a class of divisors of matrices. J Math Sci 96, 2804–2810 (1999). https://doi.org/10.1007/BF02168985
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DOI: https://doi.org/10.1007/BF02168985