On a set of generating relations of the full transformation semigroups |
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Authors: | Nagayoshi Iwahori Nobuko Iwahori |
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Affiliation: | Department of Mathematics, University of Tokyo, Bunkyo-ku, Tokyo, Japan;Department of Mathematics, Aoyama Gakuin University, Setagaya-ku, Tokyo, Japan |
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Abstract: | A set of generating relations of the full transformation semigroup Σn consisting of all mappings of the set into itself with respect to a natural system of generators {γji, σji} (defined in Section 1) is given. The set of relations (1)~(15) given in Section 1 turns out to be a set of generating relations. |
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