Annihilator Conditions with Generalized Derivations on Multilinear Polynomials

DOI10.1142/S1005386713000588zbMath1280.16041OpenAlexW2067750476MaRDI QIDQ2862497

Yiqiu Du, Yu Wang

Publication date: 15 November 2013

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386713000588

zbMATH Keywords

prime ringsgeneralized derivationsright idealscentral-valued polynomialsmultilinear polynomials

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Cites Work

• An Engel condition with generalized derivations on multilinear polynomials.
• On generalized biderivations and related maps
• Prime rings satisfying a generalized polynomial identity
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Generalized Derivations with Engel Conditions on One-Sided Ideals
• Local Generalized Derivations in Prime Rings with Idempotents
• Annihilators of power values of derivations in prime rings
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS
• Derivations with Engel conditions on multilinear polynomials
• Left Annihilators Characterized by GPIS
• Generalized Derivations with Invertible or Nilpotent Values on Multilinear Polynomials
• Generalized Derivations with Power-Central Values on Multilinear Polynomials
• On a new proof of Litoff's theorem

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