MVLSC Home • Issue Contents

Quasigroup Words and Reversible Automata
Jonathan D.H. Smith and Stefanie G. Wang

This paper examines two related topics: the linearization of the reversible automata of Gvaramiya and Plotkin, and the problem of finding a faithful representation of the words in a central quasigroup that respects the triality symmetry of the language of quasigroups. In particular, it is shown that every central pique is a module over a ring on which the triality group acts.

2020 Mathematics Subject Classification. 20N05; 08A68, 68Q70

Keywords: Quasigroup, semisymmetric, reversible automaton, triality

Full Text (IP)