ADDITIVE SUBGROUPS GENERATED BY POLYNOMIAL VALUES ON RIGHT IDEALS

DOI10.1081/AGB-100105000zbMath0987.16011OpenAlexW4237521747WikidataQ57788367 ScholiaQ57788367MaRDI QIDQ2747123

Chi-Ming Chang, Tsiu-Kwen Lee

Publication date: 29 November 2001

Full work available at URL: https://doi.org/10.1081/agb-100105000

zbMATH Keywords

prime ringsnoncentral Lie idealspolynomial identitiesextended centroidsleft annihilatorsadditive subgroups

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (7)

On n-generalized commutators and Lie ideals of rings ⋮ ANNIHILATORS OF POWER VALUES OF GENERALIZED DERIVATIONS ON MULTILINEAR POLYNOMIALS ⋮ Additive subgroups generated by noncommutative polynomials ⋮ Values of polynomials on centrally closed prime algebras ⋮ Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings ⋮ Right ideals generated by an idempotent of finite rank. ⋮ Annihilator Conditions of Derivations on Multilinear Polynomials

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