A generalized Dedekind-Mertens lemma and its converse

Corso, Alberto; Heinzer, William; Huneke, Craig

doi:10.1090/S0002-9947-98-02176-X

A generalized Dedekind-Mertens lemma and its converse
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by Alberto Corso, William Heinzer and Craig Huneke PDF

Trans. Amer. Math. Soc. 350 (1998), 5095-5109 Request permission

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.

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