On group automata over finite fields

A.V. Kelarev
2004 Finite Fields and Their Applications  
We investigate the structure of incidence rings of group automata over finite fields. One of the major tools used in research on the structure of ring constructions is the Jacobson radical. Our main theorem gives a complete description of the Jacobson radicals of incidence rings of (possibly nondeterministic) group automata over finite fields in the important special case where the input group is abelian.
doi:10.1016/s1071-5797(03)00043-1 fatcat:vjmc4zi6avelrkt5m7mr3qfn5i