Abstract:The class of row monomial matrices (one unit and rest zeros in every row) with some non-standard operations of summation and usual multiplication is our main object. These matrices generate a space with respect to the mentioned operations. A word w of letters on edges of underlying graph Γ of deterministic finite automaton (DFA) is called synchronizing if w sends all states of the automaton to a unique state (|R(w)| = 1. J. Černy discovered in 1964 a sequence of n-state complete DFA possessing a minimal synchr… Show more
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