On class operators for the lower radical class and semisimple closure constructions
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This is an author's accepted manuscript version of an article published in the journal Acta Mathematica Hungarica. © 2024 The authors, under exclusive licence to Springer Nature.
Abstract
We 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.
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McConnell, 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/s10474-024-01492-1
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Springer Nature