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bn:00767052n
Noun Concept
Categories: Commutative algebra, Ring theory
EN
integral domain  Associate  associate elements  associated element  associated elements
EN
In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Wikipedia
Definitions
Examples
Relations
Sources
EN
In mathematics, specifically abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Wikipedia
A non-trivial commutative ring without zero divisors Wikipedia Disambiguation
Commutative ring with no zero divisors other than zero Wikidata
Any nonzero commutative ring in which the product of nonzero elements is nonzero. Wiktionary
Nonzero commutative ring in which the product of nonzero elements is nonzero. Wiktionary (translation)
EN
A ring R is an integral domain if and only if the polynomial ring R [ x ] is an integral domain. Wiktionary
For any integral domain there can be derived an associated field of fractions. Wiktionary
IS A
domain
commutative ring
HAS KIND
Dedekind domain
Krull ring
Mori domain
atomic domain
valuation ring
+4 relations
HAS QUALITY
zero-product property
Wikipedia
EN
integral domain
Wikidata
EN
integral domain
Wiktionary
EN
integral domain
Wikipedia Redirections
EN
Associate (ring theory), associate elements, associated element, associated elements, associatedness, Cancellation ring, Commutative domain, Divisibility in rings, entire ring, integral domains, Integral ring

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