On interdependence between invariant factors of a block-triangular matrix and its diagonal blocks

Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains

“…An important role in the studying of matrices and their arithmetic properties play the invariant factors and their relationships [1,3,6,7,9]. In particular, at augmented one matrix with a single row to obtain another matrix are used the relationships between the invariant factors of these matrices.…”