International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 8, Pages 509-516
doi:10.1155/S0161171201004999
Algebraic and categorical properties of r-ideal systems
Aleka Kalapodi
and Angeliki Kontolatou
Department of Mathematics, University of Patras, Patras 26500, Greece
Abstract
The structures (G,r), where r is a system of ideals defined on a directed group G, play an important role in solving arithmetical problems. In this paper, we investigate how some properties of these systems are transferred in their cartesian products and their substructures. The results we obtain find an application in the study of categorical properties of these structures.