Commutative domains of elementary divisors and some properties of their elements

  • V. P. Shchedrik


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.
How to Cite
ShchedrikV. P. “Commutative Domains of Elementary Divisors and Some Properties of Their Elements”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 1, Jan. 2012, pp. 126-39,
Research articles