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bn:00155685n
Noun Concept
Categories: Commutative algebra, Euclid, Ring theory, Articles with short description
EN
Euclidean domain  Euclidean function  Euclidean ring  Euclidean valuation  Euclidian domain
EN
In mathematics, more specifically in ring theory, a Euclidean domain is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of integers. Wikipedia
Definitions
Relations
Sources
EN
In mathematics, more specifically in ring theory, a Euclidean domain is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of integers. Wikipedia
An integral domain which allows a suitable generalization of the Euclidean algorithm Wikipedia Disambiguation
A ring in which Euclidean division may be defined, which allows Euclid's lemma to be true and the Euclidean algorithm and the extended Euclidean algorithm to work Wikipedia Disambiguation
Commutative ring with an Euclidean division Wikidata
An integral domain in which division with remainder is possible. Wiktionary
IS A
principal ideal domain
HAS KIND
field
DIFFERENT FROM
Euclidean field
NAMED AFTER
Euclidean division
Wikipedia
EN
Euclidean domain
Wikidata
EN
Euclidean domain
Wiktionary
EN
Euclidean domain
Wikipedia Redirections
EN
Euclidean function, Euclidean ring, Euclidean valuation, Euclidian domain, Norm-Euclidean field

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