Matrix Diophantine equations over quadratic rings and their solutions

The method for solving the matrix Diophantine equations over quadratic rings is developed. On the basic of the standard form of matrices over quadratic rings with respect to $(z,k)$-equivalence previously established by the authors, the matrix Diophantine equation is reduced to equivalent matrix equ...

Full description

Bibliographic Details
Main Authors: N.B. Ladzoryshyn, V.M. Petrychkovych, H.V. Zelisko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4069