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