On the coordinatization of primary Arguesian lattices of low geometric dimension.

DOI10.1007/s13366-013-0184-0zbMath1314.06009OpenAlexW2150137924MaRDI QIDQ464822

Christian Herrmann

Publication date: 30 October 2014

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-013-0184-0

zbMATH Keywords

subgroup latticescompletely primary uniserial ringscoordinatizationsfinite Abelian \(p\)-groupsgluings of latticesprimary Arguesian lattices

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite abelian groups (20K01) Modular lattices, Desarguesian lattices (06C05) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Arguesian lattices whose skeleton is a chain
• Conditions under which a lattice is isomorphic to the lattice of subgroups of a group
• Layer-projective lattices. I
• A characterization of subgroup lattices of finite abelian groups
• Layer-projective lattices. II
• Enumeration of chains in semi-primary lattices
• Quasiplanare Verbände
• About primary lattices of a large geometric dimension
• Desargues' law and the representation of primary lattices
• Projective Geometries as Projective Modular Lattices

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