Manis Valuations and Prüfer Extensions I [[electronic resource] ] : A New Chapter in Commutative Algebra / / by Manfred Knebusch, Digen Zhang

• Autore: Knebusch Manfred
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
• Edizione: 1st ed. 2002.
• Descrizione fisica: 1 online resource (CCLXXXIV, 274 p.)
• Disciplina: 512.24
• Soggetto topico: Commutative algebra; Commutative rings; Algebraic geometry; Commutative Rings and Algebras; Algebraic Geometry
• Persona (resp. second.): ZhangDigen
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Introduction -- Basics on Manis valuations and Prüfer extensions -- Multiplicative ideal theory -- PM-valuations and valuations of weaker type -- Appendix A: Flat epimorphisms -- Appendix B: Arithmetical rings -- Appendix C: A direct proof of the existence of Manis valuation hulls -- References -- Index.
• Sommario/riassunto: The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.
• Titolo autorizzato: Manis Valuations and Prüfer Extensions I
• ISBN: 3-540-45625-2
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466608303316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1791