International Journal of Mathematics and Mathematical Sciences
Volume 26 (2001), Issue 3, Pages 161-166
doi:10.1155/S0161171201004604
Lattice modules having small cofinite irreducibles
E.W. Johnson1
, Johnny A. Johnson2
and Monty B. Taylor3
1Department of Mathematics, University of Iowa, Iowa City 52240, IA, USA
2Department of Mathematics, University of Houston, Houston 77204, TX, USA
3Department of Mathematics, University of Texas-Pan American, Edinburg 78539, TX, USA
Abstract
We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.