On trace zero matrices and commutators

DOI10.1016/j.jalgebra.2022.11.005OpenAlexW3212081306MaRDI QIDQ2099279

Makoto Suwama

Publication date: 23 November 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.04884

zbMATH Keywords

non-commutatortrace 0 matrix

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (1)

On trace zero matrices and commutators

Uses Software

• Magma

Cites Work

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• On matrices of trace zero
• Integral similarity and commutators of integral matrices
• The Magma algebra system. I: The user language
• Commutators of trace zero matrices over principal ideal rings
• On trace zero matrices and commutators
• Domains of dimension 1 with infinitely many singular maximal ideals
• Similarity and commutators of matrices over principal ideal rings
• A new table of constant weight codes
• Commutator rings
• Matrices Over Polynomial Rings
• Complete Decomposability in the Exterior Algebra of a Free Module
• Efficient Generation of Maximal Ideals in Polynomial Rings

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