On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings

We establish that a pair of matrices, which determinants are primes powers, can  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...

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Bibliographic Details
Main Author: N.B. Ladzoryshyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/3652