The F- Topology on Space of Zero Dimensional rings
Abstract Let R be a subring of a ring T, and let F be a non-principal ultrafilter on the natural numbers IN. We consider properties and applications of a countably compact, Hausdorff topology called the "F-topology" defined on space of all zero-dimensional subring of T that contains a fixed subring R. We show that the F-topology is strictly finer than the Zariski topology. We extend results regarding distinguished spectral topologies on the space of zero-dimensional subring.
2018 ◽
2018 ◽
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2019 ◽
Vol 253
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pp. 38-47
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