The lattice of closure relations on a poset

DOI10.1007/BF01190438zbMath0785.06003arXivmath/9409218MaRDI QIDQ690091

Victor Reiner

Publication date: 20 December 1993

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9409218

zbMATH Keywords

characteristic polynomialfinite posetsclosure relationslattice of closed sets in a convex geometrymaximal chain of modular elementssupersolvable lattice

Mathematics Subject Classification ID

Partial orders, general (06A06) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Lattices (06B99)

Related Items

The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey, Unnamed Item, On scattered convex geometries, A dimension-related metric on the lattice of knowledge spaces, Problems related to type-\(A\) and type-\(B\) matrices of chromatic joins, The sorting order on a Coxeter group., Closures on CPOs form complete lattices

Cites Work

• The theory of convex geometries
• Supersolvable lattices
• Some studies on closure relations
• Combinations of closure relations
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]