Some properties of primitive matrices over Bezout B-domain

The properties of primitive matrices (matrices for which the greatest common divisor of the minors of maximal order is equal to 1) over Bezout B – domain, i.e. commutative domain finitely generated principal ideal in which for all $a,b,c$ with $(a,b,c)=1,c\neq 0,$ there exists element $r\in R$, such that $(a+rb, c)=1$ is investigated. The results obtained enable to describe invariants transforming matrices, i.e. matrices which reduce the given matrix to its canonical diagonal form.