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COMPLETELY RIGHT PROJECTIVE SEMIGROUPS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2002, v.9 no.2, pp.119-128
Moon, Eunho-L.

Abstract

We here characterize semigroups (which are called completely right projective semigroups) for which every S-automaton is projective, and then examine some of the relationships with the semigroups (which are called completely right injective semigroups) in which every S-automaton is injective.

keywords
cyclic automaton, projective automaton, free automaton, injective automaton, completely right projective (injective) automaton

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics