On equivalence classes of matrices over a finite field of odd characteristic

DOI10.33048/semi.2023.20.074zbMATH Open1547.16014MaRDI QIDQ6587452

Evgeniĭ Vladimirovich Zhuravlev

Publication date: 14 August 2024

Published in: Sibirskie Elektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

local ringsfinite rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Jacobson radical, quasimultiplication (16N20)

Cites Work

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• Congruence classes of matrices in GL\(_ 2(F_ q)\)
• Local rings of order \(p^6\) with 4-nilpotent Jacobson radical.
• Congruence of two-dimensional subspaces in \(M_2(K)\) (characteristic \(\neq 2\))
• Congruence of two-dimensional subspaces in \(M_2(K)\) (characteristic \(2\))
• The number of congruence classes in \(M_ n(\mathbb{F}_ q)\)
• Noncommutative rings of order \(p^ 4\)
• Congruence classes in \(M_3({\mathbf F}_q)\) (\(q\) odd)
• Matrix representatives for three-dimensional bilinear forms over finite fields
• Rings of order \(p^5\). I: Nonlocal rings
• Rings of order \(p^5\). II: Local rings
• Congruences of \((2\times 2)\) matrices
• Rings of order \(p^ 3\).
• Congruence classes in \(M_{3}({\mathbf F}_{q})\) \((q\) even)
• Similarity and orthogonal similarity in a finite field
• On the classification of finite commutative local rings
• On a class of finite rings
• Orthogonal Similarity in a Finite Field

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