International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 4, Pages 655-660
doi:10.1155/S016117129400092X
p-systems in local Noether lattices
E.W. Johnson1
, Johnny A. Johnson2
and Monty B. Taylor3
1Department of Mathematics, University of Iowa, Iowa City 52242, Iowa, USA
2Department of Mathematics, University of Houston, Houston 77204, Texas, USA
3Department of Mathematics and Computer Science, University of Texas-Pan American, Edinburg 78539, Texas, USA
Abstract
In this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. In addition, p-systems are characterized in quotient lattices and completions.