integral domain
integral domain · integral domains
Any nonzero commutative ring in which the product of nonzero elements is nonzeroAny nonzero commutative ring in which the product of nonzero elements is nonzero.
Meaning
1 sensesAny nonzero commutative ring in which the product of nonzero elements is nonzero.
A ring R is an integral domain if and only if the polynomial ring R#91;x#93; is an integral domain.
For any integral domain there can be derived an associated field of fractions.
Translations
4 languagesForms
plural: integral domains| Singular | integral domain |
|---|---|
| Plural | integral domains |
regular
Synonyms
1 synonymscommutative ring in which the product of nonzero elements is nonzero:entire ring