TY - JOUR
AU - O.V. Domsha
AU - B. V. Zabavskii
PY - 2010/10/25
Y2 - 2024/04/18
TI - 2-Simple ore domains of stable rank 1
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 62
IS - 10
SE - Short communications
DO -
UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2968
AB - It is known that a simple Bézout domain is a domain of elementary divisors if and only if it is 2-simple. We prove that, over a 2-simple Ore domain of stable rank 1, an arbitrary matrix that is not a divisor of zero is equivalent to a canonical diagonal matrix.
ER -