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Matches in SemOpenAlex for { <https://semopenalex.org/work/W1990759531> ?p ?o ?g. }

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• W1990759531 abstract "We report the number of semigroups with 9 elements up to isomorphism or anti-isomorphism to be 52,989,400,714,478 and up to isomorphism to be 105,978,177,936,292. We obtained these results by combining computer search with recently published formulae for the number of nilpotent semigroups of degree 3. We further provide a complete account of the automorphism groups of the semigroups with at most 9 elements. We use this information to deduce that there are 148,195,347,518,186 distinct associative binary operations on an 8-element set and 38,447,365,355,811,944,462 on a 9-element set." @default.
• W1990759531 created "2016-06-24" @default.
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• W1990759531 date "2013-06-18" @default.
• W1990759531 modified "2023-10-15" @default.
• W1990759531 title "The semigroups of order 9 and their automorphism groups" @default.
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• W1990759531 doi "https://doi.org/10.1007/s00233-013-9504-9" @default.
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