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Initial Complexes of Prime Ideals

✍ Scribed by M. Kalkbrener; B. Sturmfels


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
450 KB
Volume
116
Category
Article
ISSN
0001-8708

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In this paper, improving on the results of Del Corso (1992), we describe a method to factorize prime ideal extensions in Dedekind domains. This method needs factorization modulo \(P\) of a polynomial in at least two variables.

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We present several naturally defined Οƒ-ideals which have Borel bases but, unlike for the classical examples, these ideals are not of bounded Borel complexity. We investigate set-theoretic properties of such Οƒ-ideals.