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Strong test ideals

✍ Scribed by Adela Vraciu

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
127 KB
Volume
167
Category
Article
ISSN
0022-4049

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✦ Synopsis

We prove that the test ideal is a strong test ideal whenever it commutes with completion. Additional constructions of strong test ideals are considered.

πŸ“œ SIMILAR VOLUMES

Test Ideals in Diagonal Hypersurface Rin
Test Ideals in Diagonal Hypersurface Rings
✍ Moira A McDermott πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 86 KB

Let R s k x , . . . , x r x q ΠΈΠΈΠΈ qx , where k is a field of characteristic p, p does not divide d, and n G 3. If pd, then the test ideal for R is contained in Ε½ . py 1 Ε½ . py 1 x , . . . , x . If d s p q 1, then the test ideal for R is equal to x , . . . , x .

Test ideals in diagonal hypersurface rin
Test ideals in diagonal hypersurface rings, II
✍ Moira A. McDermott πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 96 KB

where k is a field of characteristic p, p does not divide d and n 3. We describe a method for computing the test ideal for these diagonal hypersurface rings. This method involves using a characterization of test ideals in Gorenstein rings as well as developing a way to compute tight closures of cert