A description of ad-nilpotent elements in semiprime rings with involution

DOI10.1007/s40840-020-01064-wzbMath1478.16029OpenAlexW3127256881MaRDI QIDQ2045285

Esther García, Guillermo Vera de Salas, Rubén Muñoz Alcázar, Jose Brox, Miguel Gómez Lozano

Publication date: 12 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01064-w

zbMATH Keywords

Lie algebraskew-symmetric elementssemiprime ringad-nilpotent element

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (3)

A filtration associated to an abelian inner ideal of a Lie algebra ⋮ Nilpotent superderivations in prime superalgebras ⋮ Ad-nilpotent elements of skew index in semiprime rings with involution

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jordan algebras at Jordan elements of semiprime rings with involution
• Functional identities in one variable.
• On Lie ideals with generalized derivations and non-commutative Banach algebras
• Nilpotent derivations.
• Remark on nilpotency of derivations
• Herstein's Lie theory revisited
• Nil derivations
• Differential identities of prime rings
• Differential identities of semiprime rings
• On nilpotent derivations of semiprime rings
• On Herstein's Lie map conjectures. III
• Strong commutativity preserving skew derivations in semiprime rings
• On the iterates of derivations of prime rings
• A characterization of the Kostrikin radical of a Lie algebra
• Prime rings satisfying a generalized polynomial identity
• On Herstein’s Lie map conjectures, I
• Derivations in Prime Rings
• Lie and Jordan structures in simple associative rings
• Corrigendum to the Paper “Nilpotency of Derivations”
• A Note on a Result of Kostrikin
• Nilpotency of Derivations
• The extended cwtroid in ∗-prime rings
• Nilpotent Inner Derivations of the Skew Elements of Prime Rings With Involution
• Ad-nilpotent Elements of Semiprime Rings with Involution
• Some results on ideals of semiprime rings with multiplicative generalized derivations
• Jordan Structures in Lie Algebras
• Sui Commutatori Degli Anelli Semplici
• ON THE LIE RING OF A SIMPLE RING
• On Herstein's Lie map conjectures. II

This page was built for publication: A description of ad-nilpotent elements in semiprime rings with involution