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
Department of Mathematics, University of Patras, Patras 26500, Greece
Received 19 April 2000
Copyright © 2001 Aleka Kalapodi and Angeliki Kontolatou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.