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bn:03263797n
Noun Concept
Categories: Algebraic structures, Ring theory
EN
domain
EN
In algebra, a domain is a nonzero ring in which ab = 0 implies a = 0 or b = 0. Wikipedia
English:
ring theory
Definitions
Relations
Sources
EN
In algebra, a domain is a nonzero ring in which ab = 0 implies a = 0 or b = 0. Wikipedia
A nontrivial ring without left or right zero divisors Wikipedia Disambiguation
Unital ring with no zero divisors other than 0; noncommutative generalization of integral domains Wikidata
A ring with no zero divisors; that is, in which no product of nonzero elements is zero. Wiktionary
(mathematics) ring with no zero divisors. Wiktionary (translation)
IS A
prime ring
reduced ring
multiplicative identity
HAS KIND
integral domain
HAS PARTS OF THE CLASS
Abelian group
STUDIED BY
category theory
Wikipedia
EN
domain (ring theory)
Wikidata
EN
domain
Wiktionary
EN
domain
Wikipedia Redirections
EN
Domain (in ring theory)

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