Matrix Diophantine equations over quadratic rings and their solutions

DOI10.15330/cmp.12.2.368-375zbMath1458.15029OpenAlexW3114776299WikidataQ114007053 ScholiaQ114007053MaRDI QIDQ5151383

N. B. Ladzoryshyn, V. M. Petrichkovich, Kh. V. Zelisko

Publication date: 17 February 2021

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.12.2.368-375

zbMATH Keywords

matrix equationmatrixquadratic ringmatrix Diophantine equation\((z,k)\)-equivalence of matrices

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Matrix equations and identities (15A24)

Related Items (1)

The number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the \((z,k)\)-equivalence

Cites Work

• Unnamed Item
• On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings
• The structure of solutions of the matrix linear unilateral polynomial equation with two variables

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