ascending chain condition

noun

A property of a partially ordered set that states that any increasing sequence of elements must eventually become constant.

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Meanings

nounascending chain condition (countable and uncountable, plural ascending chain conditions)

plural ascending chain conditions

  1. countableuncountablealgebraA property of a partially ordered set that states that any increasing sequence of elements must eventually become constant.

    Synonyms: ACC · Antonyms: descending chain condition

Synonyms & antonyms

nounA property of a partially ordered set that states that any increasing sequence of elements must eventually become constant.

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Cite this entry
APA

ascending chain condition. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/ascending%20chain%20condition

MLA

“ascending chain condition.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/ascending%20chain%20condition. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “ascending chain condition,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/ascending%20chain%20condition.

Source: ascending chain condition on Wiktionary, CC BY-SA 4.0.