Geometric aspects of primary lattices

Benno Artmann

Vol. 43 (1972), No. 1, 15–25

DOI: 10.2140/pjm.1972.43.15

Abstract

The incidence structure derived from a primary lattice with a homogeneous basis of three n-cycles is a Hjelmslev plane of level n. A desarguesian Hjelmslev plane H(R) is of level n if and only if R is completely primary and uniserial of rank n.

Mathematical Subject Classification

Primary: 06A30

Secondary: 50D35

Milestones

Received: 12 April 1971

Published: 1 October 1972