Semigroup
noun
noun ·Rare ·Advanced level
Definitions
Noun
- 1 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."
Example
More examples"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."
Etymology
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.)
Related phrases
More for "semigroup"
Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.