Glossary of Order Theory - H

  • Heyting algebra. A Heyting algebra H is a bounded lattice in which the function fa: HH, given by fa(x) = ax is the lower adjoint of a Galois connection, for every element a of H. The upper adjoint of fa is then denoted by ga, with ga(x) = ax. Every Boolean algebra is a Heyting algebra.
  • Hasse diagram. A Hasse diagram is a type of mathematical diagram used to represent a finite partially ordered set, in the form of a drawing of its transitive reduction.

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