Localizability of the nonzero filter in a quantale
Let be a quantale with bottom element , and let denote the property of being nonzero. Let be the corresponding filter over .
Nonzero-filter localizability conjecture. The filter is localizable over .
This would remove the reducedness hypothesis from the cited theorem on conormal dense filters. The source presents the assertion as a question, and no resolution is supplied.
References
Primary source
Bangzheng Li and Yichen Xiao, “Commutative Quantale and Localization”, arXiv:2508.02991 (2025).
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