Catenary Local Rings with Geometrically Normal Formal Fibers

William Heinzer, Cristel Rotthaus and Sylvia Wiegand

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 497-510 from Springer

Abstract: Abstract We discuss relations between the catenary property and geometrically normal formal fibers. We present for each integer n≥2 an example of a catenary Noetherian local integral domain of dimension n which has geometrically regular formal fibers and is not universally catenary. These examples are obtained by means of a construction developed in our previous articles which uses power series rings, homomorphic images and intersections.

Keywords: Prime Ideal; Local Ring; Maximal Ideal; Integral Domain; Homomorphic Image (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_28

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DOI: 10.1007/978-3-642-18487-1_28

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