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Basic Results on Ideals and Varieties in Finite Fields
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)Report (Other academic)
Abstract [en]

The connection between ideals and varieties for polynomial rings over finite fields is investigated. An extension to Hilbert's NullstellenSatz is given for these ideals. Furthermore projections and embeddings of these is examined. These results basically give ideal theoretic formulations for several algebro-geometric questions. This in turn is translated to Grobner basis and polynomial remainder calculations. Anexample implementation in Mathematica is also given.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991.
LiTH-ISY-I, ISSN 8765-4321 ; 1259
Keyword [en]
Ideal, Variety, Algebraic geometry, Gröbner basis, Nullstellen Satz, Commutative algebra
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55468OAI: diva2:316133
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2013-07-29

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Automatic ControlThe Institute of Technology
Control Engineering

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