On the congruence lattice of a frame (Q1098867)
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scientific article; zbMATH DE number 4037895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the congruence lattice of a frame |
scientific article; zbMATH DE number 4037895 |
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On the congruence lattice of a frame (English)
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1987
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It is well known that the congruence lattice of a frame L (or its isomorph, the lattice of nuclei of L) is itself a frame. The main reslt of this paper is that the congruence lattice of L is compact precisely when L is Noetherian; this is then applied (via a reslt of H. Simmons characterizing the space of points of the congruence lattice of L) to recover a result of R.-E. Hoffmann on when the Skula modification of a topological space is compact.
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congruence lattice
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frame
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lattice of nuclei
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Skula modification of a topological space
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