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 | |
| Publication status | Published - Aug 2023 |
Keywords
- Lie centralizer
- generalized Lie derivation
- prime ring