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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Bibliografische gegevens
Hoofdauteur: Schoutens, Hans
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Editie:1st ed. 2010.
Reeks:Lecture Notes in Mathematics 1999
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Opmerking: L'impression du document génère 212 p.
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Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• The use of ultraproducts in commutative algebra, Hans Schoutens, Berlin, Springer, 2010, 1 vol. (X-204 p.), Lecture notes in mathematics, 978-3-642-13367-1
• The use of ultraproducts in commutative algebra, Hans Schoutens, Berlin, Springer, 2010, 1 vol. (X-204 p.), Lecture notes in mathematics, 978-3-642-13367-1
• The Use of Ultraproducts in Commutative Algebra, Texte imprimé, 9783642133695
Inhoudsopgave:
  • 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