well-order
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well-order
noun well-orders · well order
-
A total order of some set such that every nonempty subset contains a least element.
1986, G. Richter, Noetherian semigroup rings with several objects, G. Karpilovsky (editor), Group and Semigroup Rings, Elsevier (North-Holland), page 237,
̲X is well-order enriched iff every morphism set ̲X(X,Y) carries a well-order ≤_(XY) such that
f≨_(XY)g⇒h•f≨_(XY)h•g
for every h:Y→Z.
Similar: well-ordering
verb well-orders · well-ordering · well-ordered · well order
- To impose a well-order on (a set). The set of positive integers is well-ordered by the relation ≤.
Translations
Talk about this word "well-order." Wiktionary, via Micwyn, micwyn.com/word/well-order. Accessed 6 Nov. 2026. well-order. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/well-order "well-order." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/well-order.Cite this
@misc{well_order_2026,
title = {well-order},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/well-order},
urldate = {2026-11-06}
}
