On topologies over rings
In this note, we show that if a topology F¯ over a ring A satisfies a certain finiteness condition, then the Gabriel topology G¯ generated by F¯ can be explicitly constructed and it also satisfies the same finiteness condition.
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000217 |
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| _version_ | 1832552368498016256 |
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| author | Syed M. Fakhruddin |
| author_facet | Syed M. Fakhruddin |
| author_sort | Syed M. Fakhruddin |
| collection | DOAJ |
| description | In this note, we show that if a topology F¯ over a ring A satisfies a certain finiteness condition, then the Gabriel topology G¯ generated by F¯ can be explicitly constructed and it also satisfies the same finiteness condition. |
| format | Article |
| id | doaj-art-87d5ef4e02c543f4affb8dd0cfe1e9bc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-87d5ef4e02c543f4affb8dd0cfe1e9bc2025-02-03T05:58:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018119719910.1155/S0161171285000217On topologies over ringsSyed M. Fakhruddin0Department of Mathematics, University of Petroleum and Minerals, Dhahran, Saudi ArabiaIn this note, we show that if a topology F¯ over a ring A satisfies a certain finiteness condition, then the Gabriel topology G¯ generated by F¯ can be explicitly constructed and it also satisfies the same finiteness condition.http://dx.doi.org/10.1155/S0161171285000217filterGabriel topologytorsion theorytorsion ideal. |
| spellingShingle | Syed M. Fakhruddin On topologies over rings International Journal of Mathematics and Mathematical Sciences filter Gabriel topology torsion theory torsion ideal. |
| title | On topologies over rings |
| title_full | On topologies over rings |
| title_fullStr | On topologies over rings |
| title_full_unstemmed | On topologies over rings |
| title_short | On topologies over rings |
| title_sort | on topologies over rings |
| topic | filter Gabriel topology torsion theory torsion ideal. |
| url | http://dx.doi.org/10.1155/S0161171285000217 |
| work_keys_str_mv | AT syedmfakhruddin ontopologiesoverrings |