semigroup

Etymology
From, 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.)

Noun

 * 1)  Any set for which there is a binary operation that is closed and associative.
 * 2) * 1988, A. Ya Aǐzenshtat, Boris M. Schein (translator), On Ideals of Semigroups of Endomorphisms, Ben Silver (editor), Nineteen Papers on Algebraic Semigroups, Translations, Series 2, Volume 139, page 11,
 * It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups.
 * It follows naturally that various classes of ordered sets can be characterized by semigroup properties of endomorphism semigroups.

Hypernyms

 * magma

Hyponyms

 * group, monoid

Translations

 * Chinese:
 * Mandarin:
 * Czech: pologrupa
 * Finnish: puoliryhmä
 * German:
 * Icelandic: hálfgrúpa
 * Italian:
 * Portuguese: semigrupo
 * Romanian: semigrup
 * Slovak: pologrupa
 * Swedish: