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ag.algebraic geometry – Number of mills of an model in a polynomial ring over a Noetherian ring
Perhaps I ought to point out that inside inescapable lessons of beliefs (for instance beliefs with the identical integral closure or radical or another closure) individuals do actually seek the minimal variety of mills.
For integral closure of beliefs (working regionally and assuming that the residue bailiwick is innumerable), then that minimal variety of mills of all beliefs which have the identical integral closure, is named the analytic unfold of an model.
For radical, actually individuals are inquisitive about exhibiting varied issues are clique theoretic full intersections (in different phrases, that there’s an model with the identical radical because the given one outlined by the minimal variety of mills one expects by dimension).
I’d behold the labor of Neil Epstein who if I recollect appropriately developed a principle of when closure operations on beliefs have cheap “analytic spread” behaviors.
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