This is a stupid question, but perhaps somebody else has had the same stupid question before and found an answer.(adsbygoogle = window.adsbygoogle || []).push({});

Why is a <b>semi</b>group so named? If a group were a set and a binary operation satisfying 2 additional properties, then semigroup would be the perfect name, since it satisfies only 1 additional property, but that's not the case.

Is there some logic to the name? Is it because [tex]\frac{3}{2} = 1[/tex] in integer arithmetic ;-)? Wikipedia and other sources are no help, and I'm hoping there is a logic to the name, as mathematical terminology is usually extremely logical.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Semigroups: why semi-?

Loading...

Similar Threads - Semigroups semi | Date |
---|---|

I Semi-simple Lie algebra | Mar 10, 2018 |

Elements of semigroup commuting with subgroup | Jan 30, 2016 |

Is a finite semigroup isomorphic to subsets of some group? | Jul 24, 2013 |

(sub)semigroup with an endomorphism | Jul 2, 2009 |

Semigroup partitions and Identity element | Jul 1, 2009 |

**Physics Forums - The Fusion of Science and Community**