Structure of lexicographic Groebner bases in three variables of ideals of dimension zero

Computer Science – Symbolic Computation

Scientific paper

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5 pages

Scientific paper

We generalize the structural theorem of Lazard in 1985, from 2 variables to 3
variables. We use the Gianni-Kalkbrener result to do this, which implies some
restrictions inside which lies the case of a radical ideal.

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