Values of polynomials on centrally closed prime algebras

DOI10.1142/s0219498823502468OpenAlexW4289175335WikidataQ114072446 ScholiaQ114072446MaRDI QIDQ6070445

Jheng-Huei Lin, Tsiu-Kwen Lee

Publication date: 21 November 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823502468

zbMATH Keywords

noncommutative polynomialextended centroidcentrally closed prime algebrasimple algebra(proper) Lie ideal

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Values of noncommutative polynomials, Lie skew-ideals and tracial Nullstellensätze.
• The additive subgroup generated by a polynomial
• Center-like elements in prime rings
• PI-algebras. An introduction
• On additive commutator groups in division rings
• Commutators and images of noncommutative polynomials
• Additive subgroups generated by noncommutative polynomials
• Central polynomials for matrix rings
• ADDITIVE SUBGROUPS GENERATED BY POLYNOMIAL VALUES ON RIGHT IDEALS
• On the Lie ideals of $\Cstar$-algebras
• On Ranges of Polynomials in Finite Matrix Rings
• A note on values of noncommutative polynomials
• On n-generalized commutators and Lie ideals of rings
• Some results on the center of a ring with polynomial identity
• On the Lie and Jordan Rings of a Simple Associative Ring
• On higher commutators of rings