Geometric identities in lattice theory
From MaRDI portal
Publication:1584665
DOI10.1006/jcta.2000.3104zbMath0974.06002OpenAlexW1969850881MaRDI QIDQ1584665
Catherine Huafei Yan, Matteo Mainetti
Publication date: 18 December 2001
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcta.2000.3104
modular latticesprojective geometryGrassmann-Cayley algebralinear latticesArguesian identitiescongruence variety of Abelian groupscovector variableslattice inequalitynon-Arguesian identityunfolding procedure
General theory of linear incidence geometry and projective geometries (51A05) Modular lattices, Desarguesian lattices (06C05) Varieties (08B99) Exterior algebra, Grassmann algebras (15A75)
Related Items
Gelfand-Ponomarev and Herrmann constructions for quadruples and sextuples ⋮ On a Graph Calculus for Algebras of Relations ⋮ THE CHECK OF THE CORRESPONDENCE OF THE DIRECTED GRAPH TO THE ALGEBRAIC LATTICE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proof theory for linear lattices
- On the exterior calculus of invariant theory
- Two notes on the Arguesian identity
- A selfdual Arguesian inequality
- Selected papers on algebra and topology. Ed. by Gian-Carlo Rota and Joseph S. Oliveira
- A complete logic for n-permutable congruence lattices
- Multilinear Cayley factorization
- Arguesian identities in linear lattices
- Distributive laws for commuting equivalence relations
- Commuting quasi-order relations
- Arguesian identities in invariant theory
- Arguesian identities in the congruence variety of Abelian groups
- Arguesian lattices which are not type-1
- Representations of primary Arguesian lattices
- Theory of equivalence relations
- Representation of Modular Lattices and Of Relation Algebras
- On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
- A geometric identity for Pappus' theorem.
- On the representation of lattices