MMN-4038
σ-centralizers of generalized matrix algebras
Mohammad Ashraf; Mohammad Afajal Ansari;Abstract
In the present paper, Lie (Jordan) $\sigma$-centralizers on generalized matrix algebras have been characterized. More precisely, we obtain some conditions under which every Lie $\sigma$-centralizer on a generalized matrix algebra can be decomposed as the sum of a $\sigma$-centralizer and a central valued mapping. Further, it is shown that every Jordan $\sigma$-centralizer on a generalized matrix algebra becomes a $\sigma$-centralizer. Finally, the main results are then applied to triangular algebras.
Vol. 24 (2023), No. 2, pp. 579-595
DOI: 10.18514/MMN.2023.4038