A note on Lie ideals of prime rings

DOI10.1142/S0219498819500452zbMath1450.16015OpenAlexW2791086687WikidataQ115245610 ScholiaQ115245610MaRDI QIDQ5383819

Tsiu-Kwen Lee, Muzibur Rahman Mozumder

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1142/s0219498819500452

zbMATH Keywords

division ringprime ringsimple ring(maximal) Lie idealfinitely generated \(\mathbb{Z}\)-module

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Infinite-dimensional simple rings (except as in 16Kxx) (16D30)

Related Items (1)

Additive subgroups generated by noncommutative polynomials

Cites Work

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• Finiteness properties of differential polynomials.
• Center-like elements in prime rings
• Idempotents in simple rings
• Maximal subgroups of \(\text{GL}_1(D)\)
• Prime rings satisfying a generalized polynomial identity
• Some notes on Lie ideals in division rings
• Commutators in Division Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Normal subgroups of $GL_n(D)$ are not finitely generated
• Some results on the center of a ring with polynomial identity

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