Integral domains inside Noetherian power series rings constructions and examples
Tools -- More tools -- First examples of the construction -- The inclusion construction -- Flatness and the Noetherian property -- The flat locus of an extension of polynomial rings -- Excellent rings and formal fibers -- Height-one prime ideals and weak flatness -- Insider Construction details -- I...
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Tag hinzufügen | Zusammenfassung: | Tools -- More tools -- First examples of the construction -- The inclusion construction -- Flatness and the Noetherian property -- The flat locus of an extension of polynomial rings -- Excellent rings and formal fibers -- Height-one prime ideals and weak flatness -- Insider Construction details -- Integral closure under extension to the completion -- Iterative examples -- Approximating discrete valuation rings by regular local rings -- Non-Noetherian examples of dimension 3 -- Noetherian properties of non-Noetherian rings -- Non-Noetherian examples in higher dimension -- The Homomorphic Image Construction -- Catenary local rings with geometrically normal formal fibers -- An Ogoma-like examples -- Multi-ideal-adic completions of Noetherian rings -- Noetherian flatness and multi-adic constructions -- Idealwise algebraic independence -- Idealwise algebraic independence II -- Krull domains with Noetherian x-adic completions -- Inclusion Constructions over excellent normal local domains -- Weierstrass techniques for generic fiber rings -- Generic fiber rings of mixed polynomial-power series rings -- Mixed polynomial-power series rings and relations among their spectra -- Extensions of local domains with trivial generic fiber -- Constructions and examples discussed in this book. |
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| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xi, 426 Seiten Diagramme |
| ISBN: | 9781470466428 978-1-4704-6642-8 |