Word.ws English Dictionary

Euclidean domain

Euclidean domain noun: an integral domain in which division with remainder is possible.

Noun

Euclidean domain (plural Euclidean domains)

  1. an integral domain in which division with remainder is possible

Forms of Euclidean domain

pluralEuclidean domains

Origin of Euclidean domain

So called because for such domains it is possible to apply the Euclidean algorithm in order to obtain greatest common divisors.

Questions about Euclidean domain

What does Euclidean domain mean?
Euclidean domain means an integral domain in which division with remainder is possible.
What part of speech is Euclidean domain?
Euclidean domain is a noun.
What is the plural of Euclidean domain?
The plural of Euclidean domain is Euclidean domains.

Words near Euclidean domain in the dictionary

  1. Euclidean alphabet
  2. Euclidean distance
  3. Euclidean distances
  4. Euclidean division
  5. Euclidean divisions
  6. Euclidean domain
  7. Euclidean domains
  8. Euclidean geometry
  9. Euclidean group
  10. Euclidean groups
  11. Euclidean metric

Source and license

Adapted from Wiktionary: Euclidean domain (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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