Meanings
nounEuclidean domain (plural Euclidean domains)
plural Euclidean domains
- algebraan integral domain in which division with remainder is possible
Origin
So called because for such domains it is possible to apply the Euclidean algorithm in order to obtain greatest common divisors.
Full word history & related roots →Cite this entry
APA
Euclidean domain. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Euclidean%20domain
MLA
“Euclidean domain.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euclidean%20domain. Accessed November 4, 2026.
Chicago
WatkinsX Dictionary, s.v. “Euclidean domain,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Euclidean%20domain.
Source: Euclidean domain on Wiktionary, CC BY-SA 4.0.