Generic fiber rings of mixed power series/polynomial rings

DOI10.1016/j.jalgebra.2005.07.015zbMath1097.13026arXivmath/0507326OpenAlexW2052676743MaRDI QIDQ2491846

Christel Rotthaus, Sylvia Wiegand, William J. Heinzer

Publication date: 29 May 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507326

zbMATH Keywords

Weierstrass Preparation Theoremheight of maximal ideals of generic formal fiber

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25) Power series rings (13J05)

Related Items (2)

Algebraic series and valuation rings over nonclosed fields ⋮ Dimensions of Formal Fibers of Height One Prime Ideals

Cites Work

• On rings with low dimensional formal fibres
• Constructing local generic formal fibers
• Semilocal generic formal fibers
• Extensions of local domains with trivial generic fiber
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Komplettierung semilokaler quasiausgezeichneter Ringe
• Formal fibers and birational extensions
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