Symmetric sublattices of a Noether lattice

Michael E. Detlefsen

Vol. 77 (1978), No. 2, 365–379

DOI: 10.2140/pjm.1978.77.365

Abstract

In this note we investigate questions about partitions of positive integers arising from multiplicative lattice theory and prove that the sublattice of RL(A_i) (A₁,⋯,A_k is a prime sequence in a local Noether lattice) generated by the elementary symmetric elements in the A_i’s is a π-lattice.

Mathematical Subject Classification 2000

Primary: 06B05

Milestones

Received: 23 June 1977

Published: 1 August 1978