Search Results

You are looking at 1 - 3 of 3 items for :

  • "Relative complement" x
  • Refine by Access: All Content x
Clear All

For a lattice L of finite length n, let RCSub(L) be the collection consisting of the empty set and those sublattices of L that are closed under taking relative complements. That is, a subset X of L belongs to RCSub(L) if and only if X is join-closed, meet-closed, and whenever {a, x, b} ⊆ S, yL, xy = a, and xy = b, then yS. We prove that (1) the poset RCSub(L) with respect to set inclusion is lattice of length n + 1, (2) if RCSub(L) is a ranked lattice and L is modular, then L is 2-distributive in András P. Huhn’s sense, and (3) if L is distributive, then RCSub(L) is a ranked lattice.

Open access

research is needed in order to understand the relationship between OVAux order and clause type or complementizer type, but there are indications that VAux clauses present information as presupposed ( Milicev 2016 ). In the case at hand, the relative

Restricted access