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Longer titles found: Duality theory for distributive lattices (view), Completely distributive lattice (view)

searching for Distributive lattice 11 found (103 total)

Lubell–Yamamoto–Meshalkin inequality (507 words) [view diff] exact match in snippet view article find links to article

MR 0150049 Yamamoto, Koichi (1954), "Logarithmic order of free distributive lattice", Journal of the Mathematical Society of Japan, 6 (3–4): 343–353

Divisor (1,858 words) [view diff] exact match in snippet view article find links to article

non-negative integers into a partially ordered set that is a complete distributive lattice. The largest element of this lattice is 0 and the smallest is 1.

Complete Heyting algebra (1,274 words) [view diff] exact match in snippet view article find links to article

{\displaystyle x\land \bigvee _{s\in S}s=\bigvee _{s\in S}(x\land s).} P is a distributive lattice, i.e., for all x, y and z in P, we have x ∧ ( y ∨ z ) = ( x ∧ y )

Holbrook Mann MacNeille (777 words) [view diff] exact match in snippet view article find links to article

Bulletin of the American Mathematical Society 1939: Extension of a distributive lattice to a Boolean ring, Bulletin of the American Mathematical Society

168 (number) (2,186 words) [view diff] exact match in snippet view article

antichains of subsets of an n-set, number of elements in a free distributive lattice on n generators, number of Sperner families.)". The On-Line Encyclopedia

Stone duality (2,289 words) [view diff] exact match in snippet view article find links to article

"join-prime" can be replaced by (join-) irreducible since we are in a distributive lattice. Spaces with this property are called sober. Conversely, for a locale

Bipolar orientation (1,839 words) [view diff] exact match in snippet view article find links to article

set of bipolar orientations can be given the structure of a finite distributive lattice, with the edge-reversal operation corresponding to the covering relation

Linear subspace (4,640 words) [view diff] exact match in snippet view article find links to article

a (possibly infinite) orthocomplemented lattice (although not a distributive lattice).[citation needed] In spaces with other bilinear forms, some but

Relevance logic (3,947 words) [view diff] exact match in snippet view article find links to article

where ( D , ∧ , ∨ , ¬ ) {\displaystyle (D,\land ,\lor ,\lnot )} is a distributive lattice with a unary operation, ¬ {\displaystyle \lnot } obeying the laws

John von Neumann (23,693 words) [view diff] exact match in snippet view article find links to article

classical logic must be replaced with a weaker condition. Instead of a distributive lattice, propositions about a quantum system form an orthomodular lattice

Skew lattice (5,147 words) [view diff] exact match in snippet view article find links to article

(x\vee z\vee w)} , if and only if it factors as the product of a distributive lattice and a rectangular skew lattice. In this latter case (D2) can be strengthened