Commutative domains of elementary divisors and some properties of their elements
The author studies 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. He establishes conditions, close to the stable-range conditions, under which a commutative Bézout domain is a domain of elementary divisors.
scientific article; zbMATH DE number 6128294