Let be an arbitrary -algebra which contains a nontrivial projection and let be a surjective map which satisfies
for every , , and some such that , , and is the Jordan multiple --product where We determine the concrete form of map on any arbitrary -algebra. Also, if , and is an arbitrary -algebra (with unit ), over the complex field which contains a nontrivial projection , then is of the form for all .
"Maps preserving strong products." Rocky Mountain J. Math. 51 (1) 315 - 325, February 2021. https://doi.org/10.1216/rmj.2021.51.315