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

DOI10.30970/ms.57.2.115-121OpenAlexW4293058260WikidataQ114039350 ScholiaQ114039350MaRDI QIDQ2086066

N. B. Ladzoryshyn, V. M. Petrichkovich

Publication date: 20 October 2022

Published in: Matematychni Studiï (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30970/ms.57.2.115-121

Mathematics Subject Classification ID

Quadratic extensions (11R11) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Cites Work

• Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields
• On simultaneous similarity of matrices and related questions
• Semiscalar equivalence and the Smith normal form of polynomial matrices
• Cyclotomic matrices over the Eisenstein and Gaussian integers
• On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings
• Matrix Diophantine equations over quadratic rings and their solutions
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