hálfgrúpa

Icelandic

Etymology

From hálf- (half-) +‎ grúpa (group).

Noun

hálfgrúpa f (genitive singular hálfgrúpu, nominative plural hálfgrúpur)

  1. (mathematics) a semigroup; (any set for which there is a binary operation that is both closed and associative)

Declension

Declension of hálfgrúpa (feminine, based on grúpa)
singular plural
indefinite definite indefinite definite
nominative hálfgrúpa hálfgrúpan hálfgrúpur hálfgrúpurnar
accusative hálfgrúpu hálfgrúpuna hálfgrúpur hálfgrúpurnar
dative hálfgrúpu hálfgrúpunni hálfgrúpum hálfgrúpunum
genitive hálfgrúpu hálfgrúpunnar hálfgrúpna hálfgrúpnanna

Derived terms

  • styttin hálfgrúpa (cancellation semigroup)
  • hálfgrúpumótun (semigroup homomorphism)
  • hálfgrúpa með hlutleysu (semigroup with identity element, monoid)