2017
Том 69
№ 5

All Issues

Commutative domains of elementary divisors and some properties of their elements

Shchedrik V. P.

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Abstract

We study commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertible matrices that reduce a given matrix to the diagonal form. Some properties of elements of these domains are indicated. We establish conditions, close to the stable-rank conditions, under which a commutative Bezout domain is a domain of ´ elementary divisors.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 1, pp 140-155.

Citation Example: Shchedrik V. P. Commutative domains of elementary divisors and some properties of their elements // Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 126-139.

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