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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
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| Edición: | 1st ed. 2010. |
| Colección: | Lecture Notes in Mathematics,
1999 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.