Algebraic and categorical properties of r-ideal systems
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 fi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004999 |
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| _version_ | 1832547492157194240 |
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| author | Aleka Kalapodi Angeliki Kontolatou |
| author_facet | Aleka Kalapodi Angeliki Kontolatou |
| author_sort | Aleka Kalapodi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2af11a367b544961afa0be466c072d2f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2af11a367b544961afa0be466c072d2f2025-02-03T06:44:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125850951610.1155/S0161171201004999Algebraic and categorical properties of r-ideal systemsAleka Kalapodi0Angeliki Kontolatou1Department of Mathematics, University of Patras, Patras 26500, GreeceDepartment of Mathematics, University of Patras, Patras 26500, GreeceThe 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.http://dx.doi.org/10.1155/S0161171201004999 |
| spellingShingle | Aleka Kalapodi Angeliki Kontolatou Algebraic and categorical properties of r-ideal systems International Journal of Mathematics and Mathematical Sciences |
| title | Algebraic and categorical properties of r-ideal systems |
| title_full | Algebraic and categorical properties of r-ideal systems |
| title_fullStr | Algebraic and categorical properties of r-ideal systems |
| title_full_unstemmed | Algebraic and categorical properties of r-ideal systems |
| title_short | Algebraic and categorical properties of r-ideal systems |
| title_sort | algebraic and categorical properties of r ideal systems |
| url | http://dx.doi.org/10.1155/S0161171201004999 |
| work_keys_str_mv | AT alekakalapodi algebraicandcategoricalpropertiesofridealsystems AT angelikikontolatou algebraicandcategoricalpropertiesofridealsystems |