Representations of primary Arguesian lattices

Bjarni Jónsson and George Stephen Monk

Vol. 30 (1969), No. 1, 95–139

DOI: 10.2140/pjm.1969.30.95

Abstract

The principal result of this paper states that every primary Arguesian lattice of geometric dimension three or more is isomorphic to the lattice of all submodules of a finitely generated module over a completely primary uniserial ring.

Mathematical Subject Classification

Primary: 06.30

Secondary: 50.00

Milestones

Received: 29 February 1968

Published: 1 July 1969