Verfasst von:	Heinzer, William [VerfasserIn]
	Rotthaus, Christel [VerfasserIn]
	Wiegand, Sylvia [VerfasserIn]
Titel:	Integral domains inside Noetherian power series rings
Titelzusatz:	constructions and examples
Verf.angabe:	William Heinzer, Christel Rotthaus, Sylvia Wiegand
Verlagsort:	Providence, Rhode Island
Verlag:	American Mathematical Society
E-Jahr:	2021
Jahr:	[2021]
Umfang:	xi, 426 Seiten
Illustrationen:	Diagramme
Gesamttitel/Reihe:	Mathematical surveys and monographs ; volume 259
Fussnoten:	Includes bibliographical references and index
ISBN:	978-1-4704-6642-8
Abstract:	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.
URL:	Inhaltsverzeichnis: https://www.gbv.de/dms/tib-ub-hannover/1762827239.pdf
	zbMATH: https://zbmath.org/7559865
Schlagwörter:	(s)Formale Potenzreihe    / (s)Noetherscher Ring    / (s)Integritätsbereich    / (s)Ringspektrum    / (s)flacher Modul
Sprache:	eng
RVK-Notation:	SK 230
Sach-SW:	31.23 rings, algebras
	Commutative algebra -- General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to commutative algebra
	Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra
	Commutative algebra -- Research exposition (monographs, survey articles) pertaining to commutative algebra
	Commutative algebra -- General commutative ring theory -- Divisibility and factorizations in commutative rings
	Commutative algebra -- Commutative ring extensions and related topics -- Integral dependence in commutative rings; going up, going down
	Commutative algebra -- Commutative ring extensions and related topics -- Integral closure of commutative rings and ideals; integrally closed rings, related rings (Japanese, etc.)
	Commutative algebra -- Commutative ring extensions and related topics -- Polynomials over commutative rings
	Commutative algebra -- Commutative ring extensions and related topics -- Rings of fractions and localization for commutative rings
	Commutative algebra -- Commutative ring extensions and related topics -- Completion of commutative rings
	Commutative algebra -- Commutative ring extensions and related topics -- Étale and flat extensions; Henselization; Artin approximation
K10plus-PPN:	1762827239
Verknüpfungen:	→ Übergeordnete Aufnahme