closure axiom

noun

A rule stating that for a given set and an operation, the result of applying that operation to any two elements within the set must also be an element of that same set.

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Meanings

nounclosure axiom (plural closure axioms)

plural closure axioms

  1. group theoryA rule stating that for a given set and an operation, the result of applying that operation to any two elements within the set must also be an element of that same set.
Cite this entry
APA

closure axiom. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/closure%20axiom

MLA

“closure axiom.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/closure%20axiom. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “closure axiom,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/closure%20axiom.

Source: closure axiom on Wiktionary, CC BY-SA 4.0.