hálfgrúpa
Icelandic
Etymology
From hálf- (“half-”) + grúpa (“group”).
Noun
hálfgrúpa f (genitive singular hálfgrúpu, nominative plural hálfgrúpur)
- (mathematics) a semigroup; (any set for which there is a binary operation that is both closed and associative)
Declension
| 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”)