On optimal factorization of free semigroups into free subsemigroups |
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| Authors: | Renato M Capocelli |
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| Institution: | 1. Laboratorio di Cibernetica del C.N.R., 80072 Arco Felice, Napoli, Italy
2. Istituto Scienze dell'Informazione dell'Università, 84100, Salerno, Italy
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| Abstract: | Optimal factorizations of a subsemigroup into very pure and weakly prefix subsemigroups are considered. It is shown that the intersection of the family of very pure (weakly prefix) subsemigroups containing a given subset A of X+ is itself a very pure (weakly prefix) subsemigroup and procedures for constructing the basis of such minimal subsemigroups are provided. |
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