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

f-w1	singular		plural
	indefinite	definite	indefinite	definite
nominative	hálfgrúpa	hálfgrúpan	hálfgrúpur	hálfgrúpurnar
accusative	hálfgrúpu	hálfgrúpuna	hálfgrúpur	hálfgrúpurnar
dative	hálfgrúpu	hálfgrúpunni	hálfgrúpum	hálfgrúpunum
genitive	hálfgrúpu	hálfgrúpunnar	hálfgrúpa	hálfgrúpanna

Derived terms

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