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Glite Dictionary
🌌 A smaller universe ➗ A closed subset
subuniverse

subuniverse

9.9
A set with at least one element that is closed under algebra operations
  • noun
  • /ˌsʌbˈjuːnɪvɜrs/
  • Specialized
translation icon : subuniverso
  • In universal algebra, the set of even numbers is a subuniverse of the integers under addition.

Examples

  • The subuniverse formed by even numbers is closed under addition.

  • A subuniverse must be nonempty and closed under all the operations of the algebra.

  • Researchers identified a subuniverse within the model that preserved the required properties.

  • A subuniverse can be defined within any algebraic structure.

  • In universal algebra, the set of even numbers is a subuniverse of the integers under addition.

  • A subuniverse must contain at least one element and remain closed under all the operations of the algebra.

  • Researchers identified a subuniverse within the mathematical model that maintained the necessary properties.

Antonyms

entirety
68 4.1

The whole of something that includes every part

Surface Forms

subuniverse singular
subuniverses plural

Morphology

subuniverse = universe (semi-transparent) = sub + universe

Morphologically this is a straightforward prefixation: 'sub-' indicates a part/subset relation to a universe.

Etymology

In math, subuniverse uses the same parts: sub- 'part of' and universe 'the whole set', so it means a smaller part of the whole set that still contains the results when you do the algebra's operations, like a 'subset' that stays inside itself.