Abstract
The purpose of this section is to generalize the results of § 7 to the case of (semi-)analytic algebras. As in § 13 let k be a complete noetherian local ring whose maximal ideal is generated by p•1, where p is the characteristic of the residue field of k. Let S be a semianalytic k-algebra, and let R be an analytic k-algebra such that S is essentially of finite type over R. Being a complete semi-local noetherian ring, R is universally catenary, hence for ℘, ℘′ ∈ Spec(S) with ℘ ⊂ ℘ we have
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© 1986 Springer Fachmedien Wiesbaden
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Kunz, E. (1986). Regularity Criteria for Semianalytic Algebras. In: Kähler Differentials. Advanced Lectures in Mathematics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14074-0_14
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DOI: https://doi.org/10.1007/978-3-663-14074-0_14
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08973-3
Online ISBN: 978-3-663-14074-0
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