Left Annihilators Characterized by GPIS

DOI10.2307/2154780zbMath0845.16016OpenAlexW4237570472MaRDI QIDQ4875751

Tsiu-Kwen Lee

Publication date: 13 June 1996

Full work available at URL: https://doi.org/10.2307/2154780

zbMATH Keywords

semiprime ringsright idealssymmetric Martindale quotient ringsextended centroidUtumi quotient ringsgeneralized polynomial identitiesorthogonal completions

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (25)

On Certain Subgroups of Semiprime Rings with Derivations ⋮ Generalized derivations of left faithful rings ⋮ Semiprime Algebras with Finiteness Conditions ⋮ On skew derivations in semiprime rings ⋮ Generalized derivations with power central values on multilinear polynomials on right ideals. ⋮ Right sided ideals and multilinear polynomials with derivation on prime rings. ⋮ Products of derivations which act as Lie derivations on commutators of right ideals. ⋮ Generalized Derivations with Engel Conditions on One-Sided Ideals ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ Derivations with values satisfying a right or left S_2n–polynomial ⋮ Generalized derivations with nilpotent, power-central, and invertible values in prime and semiprime rings ⋮ Cocentralizing generalized derivations on multilinear polynomial on right ideals of prime rings. ⋮ Annihilators of power values of derivations in prime rings ⋮ Generalized derivations as Jordan homomorphisms on Lie ideals and right ideals. ⋮ Linear Generalized Polynomials with Finiteness Conditions ⋮ Group Identities and Prime Rings Generated by Units ⋮ DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS ⋮ Annihilator Conditions of Derivations on Multilinear Polynomials ⋮ Finiteness properties of differential polynomials. ⋮ Quotient Rings andf-Radical Extensions of Rings ⋮ Derivations with power central values on multilinear polynomials in prime rings. ⋮ Annihilator Conditions with Generalized Derivations on Multilinear Polynomials ⋮ Generalized differential identities of (semi-)prime rings. ⋮ Differential identities of lie ideals or large right ideals in prime rings ⋮ Derivations with algebraic values of bounded degree

Cites Work

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• Differential identities with automorphisms and antiautomorphisms. I
• Prime nonassociative algebras
• Triality and Lie algebras of type \(D_4\)
• Lectures on injective modules and quotient rings
• Prime rings satisfying a generalized polynomial identity
• Gpis Having Coefficients in Utumi Quotient Rings

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