Commuting Jordan Derivations on Triangular Rings Are Zero

Authors

Amin Hosseini
Wu Jing

Document Type

Article

Publication Date

2024

Abstract

Abstract: The main purpose of this article is to show that every commuting Jordan derivation on triangular rings (unital or not) is identically zero. Using this result, we prove that if is a -torsion free ring that is either semiprime or satisfies Condition (P), then, under certain conditions, every commuting Jordan derivation of into itself is identically zero. © 2024 Elsevier B.V., All rights reserved.

Recommended Citation

Hosseini, Amin and Jing, Wu, "Commuting Jordan Derivations on Triangular Rings Are Zero" (2024). College of Health, Science, and Technology. 1123.
https://digitalcommons.uncfsu.edu/college_health_science_technology/1123