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TitleFlatness Properties of Entire Functions Over Polynomial Rings via Gröbner Bases
Author(s) Joachim Apel, Jürgen Stückrad, Piotr Tworzewski, Tadeusz Winiarski
TypeArticle in Journal
AbstractIn this paper it is shown that the extension ideals of polynomial prime and primary ideals in the corresponding ring of entire functions remain prime or primary, respectively. Moreover, we will prove that a primary decomposition of a polynomial ideal can be extended componentwise to a primary decomposition of the extended ideal. In order to show this we first prove the flatness of the ring of entire functions over the corresponding polynomial ring by use of Gröbner basis techniques. As an application we give an elementary proof of a generalization of Hilbert's Nullstellensatz for entire functions (cf. [10])
Length10
ISSN0938-1279
File
LanguageEnglish
JournalJournal of Applicable Algebra in Engineering, Communication and Computing
Volume14
Number1
Pages1-10
Year2003
MonthJune
Edition0
Translation No
Refereed No
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