Generic Gaussian ideals

Alberto Corso, Wolmer V. Vasconcelos, Rafael H. Villarreal

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The content of a polynomial f(t) is the ideal generated by its coefficients. Our aim here is to consider a beautiful formula of Dedekind-Mertens on the content of the product of two polynomials, to explain some of its features from the point of view of Cohen-Macaulay algebras and to apply it to obtain some Noether normalizations of certain toric rings. Furthermore, the structure of the primary decomposition of generic products is given and some extensions to joins of toric rings are considered.

Original languageEnglish
Pages (from-to)117-127
Number of pages11
JournalJournal of Pure and Applied Algebra
Issue number1-3
StatePublished - Mar 1998

Bibliographical note

Funding Information:
A. Corso gratefully acknowledgesp artial support from the Consiglio Nazionale delle Ricerche under CNR grant 203.01.63.W . V. Vasconcelos was in part supportedb y a NSF grant. Finally, R. H. Villarreal expressesh is gratitudet o COFAA-IPN, CONACyT, and SNI.

ASJC Scopus subject areas

  • Algebra and Number Theory


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