principal ideal domain
English
Noun
principal ideal
domain
(
plural
principal ideal domains
)
(
algebra
)
An
integral domain
in which every
ideal
is a
principal ideal
.
Synonyms
PID
Hypernyms
unique factorization domain
,
Noetherian domain
integral domain
commutative ring
Dedekind domain
principal ideal ring
Bézout domain
Hyponyms
Euclidean domain
field