On n-generalized commutators and Lie ideals of rings
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Publication:5039765
DOI10.1142/S0219498822502218OpenAlexW3194772339WikidataQ115245564 ScholiaQ115245564MaRDI QIDQ5039765
Tsiu-Kwen Lee, Peter V. Danchev
Publication date: 4 October 2022
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13487
regular ringidempotentnoncommutative polynomialGPIprime ringPI\(n\)-generalized commutator (Lie ideal)
Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)
Related Items
Additive subgroups generated by noncommutative polynomials, Values of polynomials on centrally closed prime algebras
Cites Work
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- Rings over which the transpose of every invertible matrix is invertible.
- Finiteness properties of differential polynomials.
- The additive subgroup generated by a polynomial
- Products of idempotents in regular rings. II
- Commutators and images of noncommutative polynomials
- Multilinear polynomials are surjective on algebras with surjective inner derivations
- Prime rings satisfying a generalized polynomial identity
- Lie structure of prime rings of characteristic 2
- ADDITIVE SUBGROUPS GENERATED BY POLYNOMIAL VALUES ON RIGHT IDEALS
- A NOTE ON CERTAIN SUBGROUPS OF PRIME RINGS WITH DERIVATIONS
- Derivations in Prime Rings
- Commutators in Division Rings
- Commutator rings
- Centralizers and Jordan triple derivations of semiprime rings
- Bi-additive maps ofξ-Lie product type vanishing on zero products ofXYandYX
- On the subring generated by commutators
- Generalized commutators in matrix rings
- On Asano’s theorem
- Operators of the form PAQ-QAP
- "Problems in the Theory of Rings" Revisited
- On the Lie and Jordan Rings of a Simple Associative Ring
- On higher commutators of rings
