Vol. 43, No. 1, 1972

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Geometric aspects of primary lattices

Benno Artmann

Vol. 43 (1972), No. 1, 15–25
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
Authors
Benno Artmann