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Existence and Construction of a Gröbner Basis for a Polynomial Ideal

Published 16 Jun 2023 in math.AC, cs.SC, and math.AG | (2306.09602v1)

Abstract: This extended abstract gives a construction for lifting a Gr\"obner basis algorithm for an ideal in a polynomial ring over a commutative ring R under the condition that R also admits a Gr\"obner basis for every ideal in R.

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