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Algebraic and categorical properties of r -ideal systems

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  • Aleka Kalapodi
  • Angeliki Kontolatou

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.

Suggested Citation

  • Aleka Kalapodi & Angeliki Kontolatou, 2001. "Algebraic and categorical properties of r -ideal systems," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:254385
    DOI: 10.1155/S0161171201004999
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