Some notes on Lie ideals in division rings

DOI10.1142/S0219498818500494zbMath1422.17003OpenAlexW2592833214WikidataQ115245627 ScholiaQ115245627MaRDI QIDQ3133327

Ali Reza Madadi, M. Arian-Nejad, Mehdi Aaghabali

Publication date: 13 February 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818500494

zbMATH Keywords

division ringLie idealfinitely generated

Mathematics Subject Classification ID

Nonassociative division algebras (17A35) General theory of nonassociative rings and algebras (17A01)

Related Items (1)

A note on Lie ideals of prime rings

Cites Work

• Maximal subgroups of \(\text{GL}_1(D)\)
• Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
• Normal subgroups of $GL_n(D)$ are not finitely generated
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)
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