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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 1, Pages 197-199
doi:10.1155/S0161171285000217

On topologies over rings

Syed M. Fakhruddin

Department of Mathematics, University of Petroleum and Minerals, Dhahran, Saudi Arabia

Abstract

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.