hálfgrúpa
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Icelandic
[edit]Etymology
[edit]From hálf- (“half-”) + grúpa (“group”).
Noun
[edit]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
[edit]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
[edit]- styttin hálfgrúpa (“cancellation semigroup”)
- hálfgrúpumótun (“semigroup homomorphism”)
- hálfgrúpa með hlutleysu (“semigroup with identity element, monoid”)