English Explanatory Dictionary

semigroup

English dictionary entry

Meanings

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

Word forms

semigroup semigroups

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.)

Derived words

hypersemigroup inverse semigroup semigroup homomorphism semigroupoid subsemigroup
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