Two remarks on Lie rings of $2\times 2$ matrices over commutative associative rings

DOI10.14712/1213-7243.2020.010zbMath1463.17012OpenAlexW3026196118MaRDI QIDQ3297039

Evgenii L. Bashkirov

Publication date: 2 July 2020

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14712/1213-7243.2020.010

zbMATH Keywords

Lie ringmatrixassociative commutative ring

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Cites Work

• Lie rings defined by the root system and family of additive subgroups of the initial ring
• Subgroups of the Chevalley groups and Lie rings definable by a collection of additive subgroups of the initial ring.
• On matrix Lie rings over a commutative ring that contain the special linear Lie ring
• On a class of Lie rings of 2 × 2 matrices over associative commutative rings
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