Representable distributive Noether lattices

E. W. Johnson and J. P. Lediaev

Vol. 28 (1969), No. 3, 561–564

DOI: 10.2140/pjm.1969.28.561

Abstract

Recently, Bogart showed that a certain class of distributive Noether lattices, namely regular local ones, are embeddable in the lattice of ideals of an appropriate Noetherian ring. In this paper a characterization of the distributive Noether lattices which are representable as the complete lattice of ideals of a Noetherian ring is obtained.

Mathematical Subject Classification

Primary: 06.50

Secondary: 16.00

Milestones

Received: 15 January 1968

Published: 1 March 1969