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On a set of generating relations of the full transformation semigroups

Authors:	Nagayoshi Iwahori Nobuko Iwahori

Institution:	Department of Mathematics, University of Tokyo, Bunkyo-ku, Tokyo, Japan;Department of Mathematics, Aoyama Gakuin University, Setagaya-ku, Tokyo, Japan

Abstract:	A set of generating relations of the full transformation semigroup Σ_n consisting of all mappings of the set $Ω = {1, …, n}$ into itself with respect to a natural system of generators {γ_jⁱ, σ_jⁱ} (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.

Keywords:
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