Petr Vojtechovsky – Propagating equations with an application to Moufang theorem
University of Denver
An equation propagates in an algebra if
holds and all elements of are in the subalgebra of generated by . We offer results on propagating equations in general and on propagation of associativity in particular. We present several solutions to a problem of Rajah, who asked for a variety of loops in which Moufang theorem holds but that is not a subvariety of Moufang loops.