ALGEBRAIC THEORY OF SEMI-AUTOMATA CASCADES.
Michael Yoeli · 1965
Abstract : Cascade products of partially specified semi-automata (i.e., output-free automata) are defined and necessary and sufficient conditions are obtained for a semi-automaton to have a non-trivial representation as a homomorphic image of a subsystem of some cascade product of (simpler) semiautomata. The basic algebraic concepts of homomorphic relation and admissible covering play an important role in these investigations. (Author)