Word.ws English Dictionary

bilattice

bilattice noun: a structure B = (S,⊑₁ ,⊑₂) in which S is a non-empty set, and ⊑₁ and ⊑₂ are partial orderings each giving S the structure of a lattice, determining thus for each of the two lattices the corresponding operations of meet and join.

Noun

bilattice (plural bilattices)

  1. A structure B = (S,⊑₁ ,⊑₂) in which S is a non-empty set, and ⊑₁ and ⊑₂ are partial orderings each giving S the structure of a lattice, determining thus for each of the two lattices the corresponding operations of meet and join.
    • We show that for a linear space of operators #123;#92;mathcalM#125;#92;subseteq#123;#92;mathcalB#125;(H#95;1,H#95;2) the following assertions are equivalent. (i) #123;#92;mathcalM#125; is reflexive in the sense of Loginov--Shulman. (ii) There exists an order-preserving map 1 on a bilattice...2015, Janko Bračič, Lina Oliveira, “A characterization of reflexive spaces of operators”, in arXiv

Forms of bilattice

pluralbilattices

Origin of bilattice

From bi- + lattice.

Questions about bilattice

What does bilattice mean?
Bilattice means a structure B = (S,⊑₁ ,⊑₂) in which S is a non-empty set, and ⊑₁ and ⊑₂ are partial orderings each giving S the structure of a lattice, determining thus for each of the two lattices the corresponding operations of meet and join.
What part of speech is bilattice?
Bilattice is a noun.
What is the plural of bilattice?
The plural of bilattice is bilattices.

Words near bilattice in the dictionary

  1. bilaterans
  2. bilateria
  3. bilaterian
  4. bilaterians
  5. bilats
  6. bilattice
  7. bilattices
  8. Bilay
  9. bilayer
  10. bilayered
  11. bilayerlike

Source and license

Adapted from Wiktionary: bilattice (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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