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A generalized Dedekind-Mertens lemma and its converse |
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| Authors: | Alberto Corso William Heinzer Craig Huneke |
| Affiliation: | Department of Mathematics, Purdue University, West Lafayette, Indiana 47906 ; Department of Mathematics, Purdue University, West Lafayette, Indiana 47906 ; Department of Mathematics, Purdue University, West Lafayette, Indiana 47906 |
| Abstract: | We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dimensionality restrictions. |
| Keywords: | Content ideal of a polynomial integral closure of an ideal Dedekind--Mertens Lemma Dedekind--Mertens number |
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