McConnell, N.R.McDougall, R.G.Stokes, Tim E.Thornton, L.K.2026-08-202026-08-202024McConnell, N. R., McDougall, R. G., Stokes, T., & Thornton, L. K. (2024). On class operators for the lower radical class and semisimple closure constructions. Acta Mathematica Hungarica, 174(2), 275-288. https://doi.org/10.1007/s10474-024-01492-10236-5294https://hdl.handle.net/10289/18566We construct the lower radical class and the semisimple closure for a given class using class operators and detail some of the properties of these operators and their interplay with the operators already used in radical theory. The setting is the class of algebras introduced by Puczy lowski which ensures the results hold in groups, multi-operator groups such as rings, as well as loops and hoops.enThis is an Author Accepted Manuscript version of an article published in the journal Acta Math. Hungar © 2024 The Author(s), under exclusive licence to Springer Natureclass operatorlower radical classmathematicssemisimple closureJournal Article10.1007/s10474-024-01492-11588-26324902 Mathematical Physics4904 Pure Mathematics49 Mathematical Sciences4904 Pure mathematics