The Use of Ultraproducts in Commutative Algebra
In spite of some recent applications of ultraproducts in algebra, they remain largely unknown to commutative algebraists, in part because they do not preserve basic properties such as Noetherianity. This work wants to make a strong case against these prejudices. More precisely, it studies ultraprodu...
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| Author / Creator: | |
|---|---|
| Other Corporate Authors / Creators: | SpringerLink (Online service) |
| Format: | Electronic eBook |
| Language: | English |
| Edition: | 1st ed. 2010. |
| Imprint: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010. |
| Series: | Lecture Notes in Mathematics,
1999 |
| Subjects: | |
| Online Access: | Available in Springer Mathematics and Statistics eBooks 2010 English/International. |
Table of Contents:
- Ultraproducts and ?o?’ Theorem
- Flatness
- Uniform Bounds
- Tight Closure in Positive Characteristic
- Tight Closure in Characteristic Zero. Affine Case
- Tight Closure in Characteristic Zero. Local Case
- Cataproducts
- Protoproducts
- Asymptotic Homological Conjectures in Mixed Characteristic.