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  Structure of Groebner Bases with Respect to Block Orders

El Kahoui, M., & Rakrak, S. (2007). Structure of Groebner Bases with Respect to Block Orders. Mathematics of Computation, 76(260), 2181-2187. doi:10.1090/S0025-5718-07-01972-2.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-20D8-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0029-C42A-A
Genre: Journal Article

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 Creators:
El Kahoui, M'hammed1, Author           
Rakrak, Said2, Author
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              
2External Organizations, ou_persistent22              

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 Abstract: In this paper we study the structure of Gröbner bases with respect to block orders. We extend Lazard's theorem and the Gianni-Kalkbrenner theorem to the case of a zero-dimensional ideal whose trace in the ring generated by the first block of variables is radical. We then show that they do not hold for general zero-dimensional ideals.

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Language(s): eng - English
 Dates: 2008-02-2820072007
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 356770
DOI: 10.1090/S0025-5718-07-01972-2
Other: Local-ID: C12573CC004A8E26-1A40D45BB9025E31C1256FB30053B2C7-ElKahoui2005g
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Title: Mathematics of Computation
Source Genre: Journal
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Publ. Info: Providence, R.I. : American Mathematical Society
Pages: - Volume / Issue: 76 (260) Sequence Number: - Start / End Page: 2181 - 2187 Identifier: ISSN: 0025-5718
CoNE: https://pure.mpg.de/cone/journals/resource/110975500577325