Representing nilpotent matrices as single commutators

DOI10.1080/00927872.2020.1791900zbMath1456.16025OpenAlexW3042921979MaRDI QIDQ3386823

Emily Hoopes-Boyd

Publication date: 7 January 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1791900

zbMATH Keywords

nilpotent elementdivision ringcommutatorprime ring

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (2)

Graphs of commutatively closed sets ⋮ Involution widths of skew linear groups generated by involutions

Cites Work

• On matrices of trace zero
• Commutators in Division Rings
• Lie and Jordan structures in simple associative rings
• On commutators and nilpotent elements in simple rings
• Inner Derivations of Division Rings and Canonical Jordan form of Triangular Operators
• Nilpotent elements of operator ideals as single commutators
• Examples in Finite Gel'fand–Kirillov Dimension. II

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