Automata on genetic structure

In this paper, the authors have represented the genetic structures in terms of automata. With the algebraic structure defined on the genetic code authors defined an automaton on those codons as where is the set of the four bases as a set of alphabets or inputs, is the set of all 64 codons, obtained from the ordering of the elements of , as the set of states, is the set of the 20 amino acids as the set of outputs that produce during the process. and are transition function and output function respectively. Authors observed that defined on the automata where is a monoid called the syntactic monoid of , with . Studying the structure defined in terms of automata it is also observed that the algebraic structure forms a Near-Ring with respect to the two operations and where .