On the annihilator of commutators with derivation in prime rings

DOI10.1007/BF02904239zbMath0962.16017OpenAlexW1997938094MaRDI QIDQ1568120

Vincenzo De Filippis

Publication date: 10 June 2001

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02904239

zbMATH Keywords

derivationsprime ringsLie idealsleft annihilators

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25)

Related Items (11)

Correction to: ``A note on derivations and Jordan ideals of prime rings ⋮ An identity with generalized derivations on lie ideals, right ideals and Banach algebras ⋮ A NOTE ON DERIVATIONS, ADDITIVE SUBGROUPS, AND LIE IDEALS OF PRIME RINGS ⋮ Composition and orthogonality of derivations with multilinear polynomials in prime rings ⋮ On the Centralizers of Derivations with Engel Conditions ⋮ Annihilators of skew derivations with Engel conditions on prime rings ⋮ DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS ⋮ Annihilators of Skew Derivations with Engel Conditions on Lie Ideals ⋮ Annihilator Conditions of Derivations on Multilinear Polynomials ⋮ Annihilators of derivations with Engel conditions on Lie ideals. ⋮ Posner’s second theorem and some related annihilating conditions on lie ideals

Cites Work

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• Differential identities of prime rings
• Prime rings satisfying a generalized polynomial identity
• Gpis Having Coefficients in Utumi Quotient Rings
• An Engel Condition with Derivation
• A result on derivations
• Sums of Distinct Divisors and Sums of Distinct Units

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