English

semigroup

From semi- + group, reflecting the fact that not all the conditions required for a group are required for a semigroup.

Formed from semi- + group

Proto-Indo-European *sem- ‘one’

Proto-Indo-European *sēmi ‘half’

English semi-

Vulgar Latin *cruppus

Italian gruppo ‘a knot, heap, group’

French groupe ‘cluster, group’

English group

Today it means

noun Any set for which there is a binary operation that is closed and associative.

Language periods are conventional ranges, not dates for this word.

Etymograph / semigroup