LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS

Ajda Fošner; Hoger Ghahramani; Feng Wei

doi:10.1216/rmj.2023.53.1087

LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS

Ajda Fošner, Hoger Ghahramani, Feng Wei^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let R be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent. We characterize Lie centralizers and generalized Lie derivations at zero products on R. The Lie centralizers and generalized Lie derivations on R will be described. The obtained results are applied to Banach space standard operator algebras and factor von Neumann algebras.

Original language	English
Pages (from-to)	1087-1097
Number of pages	11
Journal	Rocky Mountain Journal of Mathematics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1216/rmj.2023.53.1087
Publication status	Published - Aug 2023

Keywords

Lie centralizer
generalized Lie derivation
prime ring

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10.1216/rmj.2023.53.1087

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abstract = "Let R be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent. We characterize Lie centralizers and generalized Lie derivations at zero products on R. The Lie centralizers and generalized Lie derivations on R will be described. The obtained results are applied to Banach space standard operator algebras and factor von Neumann algebras.",

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year = "2023",

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AU - Fošner, Ajda

AU - Ghahramani, Hoger

AU - Wei, Feng

N1 - Publisher Copyright: © Rocky Mountain Mathematics Consortium.

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N2 - Let R be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent. We characterize Lie centralizers and generalized Lie derivations at zero products on R. The Lie centralizers and generalized Lie derivations on R will be described. The obtained results are applied to Banach space standard operator algebras and factor von Neumann algebras.

AB - Let R be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent. We characterize Lie centralizers and generalized Lie derivations at zero products on R. The Lie centralizers and generalized Lie derivations on R will be described. The obtained results are applied to Banach space standard operator algebras and factor von Neumann algebras.

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KW - generalized Lie derivation

KW - prime ring

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ER -

LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS

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Keywords

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