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TitleBasic results on ideals and varieties in finite fields
Author(s) Roger Germundsson
TextR. Germundsson. Basic results on ideals and varieties in finite fields. Technical Report LiTH-ISY-I-1259, Dept. of Electrical Engineering, Linkoping University, S-581 83 Linkoping, Sweden, September 1991.
TypeTechnical Report, Misc
AbstractThe connection between ideals and varieties for polynomial rings over finite fields is investigated. An extension to Hilbert's Nullstellen
Satz 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. An
example implementation in Mathematica is also given.
Keywordsideal, variety, algebraic geometry, Gröbner basis, Nullstellen Satz, commutative algebra
Translation No
Refereed No