Completeness results for metrized rings and lattices
The Boolean ring $B$ of measurable subsets of the unit interval, modulo sets of measure zero, has proper radical ideals (for example, $\{0\})$ that are closed under the natural metric, but has no prime ideal closed under that metric; hence closed radical ideals are not, in general, intersections of...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2019-07-01
|
| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | https://cgasa.sbu.ac.ir/article_82638_41c589d665953b3ab2260903c95697c4.pdf |