semigroup

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semigroup

Where it comes from

From semi- + 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.)

noun semigroups

Any set for which there is a binary operation that is closed and associative. If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S.

Translations

Every language

noun set for which a closed associative binary operation is defined

中文	半群 bàn qún
Português	semigrupo
Deutsch	Halbgruppe
Italiano	semigruppo
Română	semigrup

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MLA

"semigroup." Wiktionary, via Micwyn, micwyn.com/word/semigroup. Accessed 6 Nov. 2026.

APA

semigroup. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/semigroup

Chicago

"semigroup." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/semigroup.

BibTeX

@misc{semigroup_2026,
  title = {semigroup},
  howpublished = {Wiktionary, via Micwyn},
  year = {2026},
  url = {https://micwyn.com/word/semigroup},
  urldate = {2026-11-06}
}