TY - JOUR AU - Ladzoryshyn, N.B. PY - 2013/06/20 Y2 - 2024/03/28 TI - On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 5 IS - 1 SE - Scientific articles DO - 10.15330/cmp.5.1.63-69 UR - https://scijournals.pnu.edu.ua/index.php/cmp/article/view/3652 SP - 63-69 AB - <p>We establish that a pair of matrices, which determinants are primes powers, can&nbsp; be reduced over quadratic Euclidean ring $\mathbb{K}=\mathbb{Z}[\sqrt{k}]$ to their triangular forms with invariant factors on a main diagonal by using the common transformation of rows over a ring of rational integers $\mathbb{Z}$ and separate transformations of columns over a quadratic ring $\mathbb{K}$.</p> ER -