Abstract
In this paper, we investigate the class of semimedial left quasigroups, a class that properly contains racks and medial left quasigroups. We extend most of the results about commutator theory for racks collected in [M. Bonatto and D. Stanovský, Commutator theory for racks and quandles, preprint (2019), arXiv:1902.08980.] and we provide a structure theorem for finite medial connected racks.
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