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Title
Relative Reduction and Buchbergers Algorithm in Filtered Free Modules
AuthorFürst, Christoph ; Levin, Alexander
Published in
Mathematics in Computer Science, 2017, Vol. 11, Issue 3-4, page 329-339
PublishedSpringer International Publishing, 2017
LanguageEnglish
Document typeJournal Article
Keywords (EN)Filtered module / Admissible orders / Relative Gröbner basis / Gröbner reduction
ISSN1661-8289
URNurn:nbn:at:at-ubl:3-1825 Persistent Identifier (URN)
DOI10.1007/s11786-017-0317-1 
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 The work is publicly available
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Relative Reduction and Buchbergers Algorithm in Filtered Free Modules [0.46 mb]
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Abstract (English)

In this paper we develop a relative Gröbner basis method for a wide class of filtered modules. Our general setting covers the cases of modules over rings of differential, difference, inversive difference and differencedifferential operators, Weyl algebras and multiparameter twisted Weyl algebras (the last class of rings includes the classes of quantized Weyl algebras and twisted generalized Weyl algebras). In particular, we obtain a Buchberger-type algorithm for constructing relative Gröbner bases of filtered free modules.

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CC-BY-License (4.0)Creative Commons Attribution 4.0 International License