Computing the Primary Decomposition of Zero-dimensional Ideals |
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Affiliation: | Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556-4618, U.S.A. |
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Abstract: | Let K be an infinite perfect computable field and let I ⊆ K [ x ] be a zero-dimensional ideal represented by a Gröbner basis. We derive a new algorithm for computing the reduced primary decomposition of I using only standard linear algebra and univariate polynomial factorization techniques. In practice, the algorithm generally works in finite fields of large characteristic as well. |
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