@article{Luo2024, 
author = {Yingyu Luo and Yu Wang},
title = {Supercommuting maps on unital algebras with idempotents},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {24636-24653},
keywords = {supercommuting map, commuting map, generalized matrix algebra, matrix algebra, triangular algebra},
url = {https://www.sciopen.com/article/10.3934/math.20241200},
doi = {10.3934/math.20241200},
abstract = {Let  A be a unital algebra with nontrivial idempotents. We considered  A as a superalgebra according to Ghahramani and Zadeh's method. We provided a description of supercommuting maps on  A. As a consequence, we gave a description of supercommuting maps on matrix algebras, which is different from the result on commuting maps of matrix algebras. Finally, we proved that every supercommuting map on triangular algebras is a commuting map.}
}