Functorial properties of Cayley consructions

Authors

  • Ulrich Knauer Carl von Ossietzky University
  • Yanming Wang Sun Yat-sen University
  • Xia Zhang Sun Yat-sen University

DOI:

https://doi.org/10.12697/ACUTM.2006.10.02

Keywords:

functor, category, semigroup, Cayley graph

Abstract

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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Author Biographies

Ulrich Knauer, Carl von Ossietzky University

Institut für Mathematik

Yanming Wang, Sun Yat-sen University

School of Mathematics and Computational Science

Xia Zhang, Sun Yat-sen University

School of Mathematics and Computational Science

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Published

2006-12-31

Issue

Vol. 10 (2006)

Section

Articles