Semigroups of order 8 |
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| Authors: | S Satoh K Yama M Tokizawa |
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| Institution: | (1) Faculty of Engineering, Saitama Institute of Technology, Fusaiji, Okabe, 369-02 Saitama, Japan;(2) Department of Mathematics Faculty of Science and Engineering, Chuo University, Bunkyo-ku, 112 Tokyo, Japan;(3) Telecommunication Software Headquarters, NTT Corporation, Nishigotanda, 2-1-1, Shinagawa-ku, 141 Tokyo, Japan |
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| Abstract: | We construct all non-equivalent semigroups of order 8, obtain their total number, and specify commutative semigroups, regular
semigroups and inverse semigroups among them. And we present their classification with respect to the equivalences of the
Green’s relations, that is, egg-box types with information about the positions of idempotent elements in them. |
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