2019
Том 71
№ 8

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To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals

Prokip V. M.

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Abstract

We study the structure of nonsingular matrices over the domain of principal ideals that possess the property of multiplicativity of canonical diagonal forms. In particular, we establish necessary and sufficient conditions of multiplicativity of canonical diagonal forms of nonsingular matrices over this domain.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 11, pp 1806-1810.

Citation Example: Prokip V. M. To the problem of multiplicativity of canonical diagonal forms of matrices over the domain of principal ideals // Ukr. Mat. Zh. - 1995. - 47, № 11. - pp. 1581–1584.

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