Vol. 77, No. 2, 1978

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Symmetric sublattices of a Noether lattice

Michael E. Detlefsen

Vol. 77 (1978), No. 2, 365–379
Abstract

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

Mathematical Subject Classification 2000
Primary: 06B05
Milestones
Received: 23 June 1977
Published: 1 August 1978
Authors
Michael E. Detlefsen
Slippery Rock State College
Slippery Rock PA 16057
United States