Small non-Arguesian lattices

DOI10.1007/BF01188180zbMath0808.06007OpenAlexW2054311617MaRDI QIDQ1315325

Christian Herrmann, Bjarni Jónsson, J. B. Nation, Doug Pickering, Alan Day

Publication date: 7 April 1994

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

Full work available at URL: https://doi.org/10.1007/bf01188180

zbMATH Keywords

modular latticeArguesian latticepermuting equivalencesgluing structurerepresentability in lattices of submodulessmall skeletons

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05)

Related Items (6)

Alan Day's work on modular and arguesian lattices ⋮ A review of some of Bjarni Jónsson's results on representation of Arguesian lattices ⋮ Type 1 representable lattices of dimension at most 4 ⋮ Tribute to Bjarni Jónsson ⋮ Definable relations in finite-dimensional subspace lattices with involution ⋮ Obituary: R. Alan Day

Cites Work

• Inducing lattice maps by semilinear isomorphisms
• A structural characterization of non-Arguesian lattices
• Two notes on the Arguesian identity
• Arguesian lattices whose skeleton is a chain
• Gluings of modular lattices
• Non-Arguesian configurations and gluings of modular lattices
• A geometric description of modular lattices
• S-verklebte Summen von Verbänden
• Quasiplanare Verbände
• Arguesian lattices which are not type-1
• The class of Arguesian lattices is self-dual
• The imbedding problem for modular lattices
• Arguesian Lattices of Dimension $n\leqq 4$.
• The structure of non-Arguesian lattices
• The Variety of Modular Lattices is Not Generated by its Finite Members
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