TY - JOUR
AU - V. P. Shchedrik
PY - 2012/01/25
Y2 - 2024/08/03
TI - Commutative domains of elementary divisors and some properties of their elements
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 64
IS - 1
SE - Research articles
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2560
AB - We study commutative domains of elementary divisors from the viewpoint of investigation of the structure of invertiblematrices 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.
ER -