Definitions For Semigroup

Noun

SEMIGROUP (plural SEMIGROUPs) (mathematics) Any set for which there is a binary operation that is closed and associative.

Hypernyms

set for which a closed associative binary operation is defined magma

Hyponyms

set for which a closed associative binary operation is defined group, monoid

Derived terms

semigroup homomorphism

Translations

Chinese: : Mandarin: 半群, tr=bàn qún, sc=Hani Czech: pologrupa, f Finnish: puoliryhmä German: Halbgruppe, f Icelandic: hálfgrúpa, f Italian: semigruppo, m Portuguese: semigrupo, m Romanian: semigrup, n Slovak: pologrupa, f Swedish: semigrupp

Etymology

from semi + group are required for a semigroup. (specifically, the requirements for the existence of identity and inverse elements are omitted.)/">group, reflecting the fact that not all the conditions required for a group are required for a semigroup. (specifically, the requirements for the existence of identity and inverse elements are omitted.)

Is Semigroup a Scrabble Word?

Words With Friends YES
Scrabble US YES
Scrabble UK YES
English International (SOWPODS) YES
Scrabble Global YES
Enable1 Dictionary YES

Points in Different Games

Scrabble
14
Words with Friends
18

The word Semigroup is worth 14 points in Scrabble and 18 points in Words with Friends

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