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Homological properties of the perfect and absolute integral closures of Noetherian domains

✍ Scribed by Mohsen Asgharzadeh


Publisher
Springer
Year
2010
Tongue
English
Weight
364 KB
Volume
348
Category
Article
ISSN
0025-5831

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Integrality at a prime for global fields
✍ Kirsten EisentrΓ€ger πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 215 KB

Let k be a global field and p any nonarchimedean prime of k. We give a new and uniform proof of the well known fact that the set of all elements of k which are integral at p is diophantine over k. Let k perf be the perfect closure of a global field of characteristic p > 2. We also prove that the se