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^*

^*此作品的通讯作者

数学学院

University of Primorska
University of Kurdistan

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1087-1097
页数	11
期刊	Rocky Mountain Journal of Mathematics
卷	53
期	4
DOI	https://doi.org/10.1216/rmj.2023.53.1087
出版状态	已出版 - 8月 2023

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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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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.

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KW - Lie centralizer

KW - generalized Lie derivation

KW - prime ring

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LIE CENTRALIZERS AND GENERALIZED LIE DERIVATIONS AT ZERO PRODUCTS

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