Abstract:
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 6= 0, there exists element r 2 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.