$\sigma$-Centralizers of triangular algebras

• Date: 2023
• Main Authors: Ashraf, M., Ansari, M. A.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6924
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 In this paper, we characterize Lie (Jordan) $\sigma$-centralizers of  triangular algebras. More precisely, we prove that, under certain conditions, every Lie $\sigma$-centralizer of a triangular algebra can be represented as the sum of a $\sigma$-centralizer...