What does complete lattice mean?

Definitions for complete lattice
com·plete lat·tice

This dictionary definitions page includes all the possible meanings, example usage and translations of the word complete lattice.

Wiktionary

  1. complete latticenoun

    A partially ordered set in which all subsets have both a supremum (join) and an infimum (meet).

Wikipedia

  1. Complete lattice

    In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A lattice which satisfies at least one of these properties is known as a conditionally complete lattice. Specifically, every non-empty finite lattice is complete. Complete lattices appear in many applications in mathematics and computer science. Being a special instance of lattices, they are studied both in order theory and universal algebra. Complete lattices must not be confused with complete partial orders (cpos), which constitute a strictly more general class of partially ordered sets. More specific complete lattices are complete Boolean algebras and complete Heyting algebras (locales).

Wikidata

  1. Complete lattice

    In mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum and an infimum. Complete lattices appear in many applications in mathematics and computer science. Being a special instance of lattices, they are studied both in order theory and universal algebra. Complete lattices must not be confused with complete partial orders, which constitute a strictly more general class of partially ordered sets. More specific complete lattices are complete Boolean algebras and complete Heyting algebras.

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Numerology

  1. Chaldean Numerology

    The numerical value of complete lattice in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of complete lattice in Pythagorean Numerology is: 6

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"complete lattice." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/complete+lattice>.

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