AUTOMATIC SEMIGROUPS WITH SUBSEMIGROUPS OF FINITE REES INDEX
Michael M. Hoffmann, Richard M. Thomas, Nik Ruškuc · International Journal of Algebra and Computation · 2002
The notion of automaticity has been widely studied in groups and some progress has been made in understanding this notion in the wider context of semigroups. The purpose of this paper is to study the connections between the automaticity of semigroups S and T where T is a subsemigroup of finite Rees index in S.