Functorial properties of Cayley consructions

Ulrich Knauer, Yanming Wang, Xia Zhang · Acta et Commentationes Universitatis Tartuensis de Mathematica · 2006

We describe the construction of the Cayley graph of a semigroup as a functor and investigate certain reflection and preservation properties of this functor. We also investigate it with respect to several product constructions including pullbacks.

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