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Some remarks on the structure of free automata |
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| Authors: | Chin-Hong Park |
| Institution: | 1. Department of Mathematics, Sunmoon University Asan, 336 - 840, Chungnam, Korea |
| Abstract: | In this paper we define automata-linearly independence. An automatonM has a basis B iffM is free provided that we assume that the action ofS onX × S is (x,s)a = (x,sa) for alla, s ∈ S andx ∈X. If a semigroupS is PRID, every subautomaton of a freeS-automaton is free. |
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