Abstract
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 language | English |
|---|---|
| Pages (from-to) | 117-127 |
| Number of pages | 11 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 125 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - 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.
Funding
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.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | |
| College of Natural Resources, University of California Berkeley | 203.01.63 |
| Consiglio Nazionale delle Ricerche |
ASJC Scopus subject areas
- Algebra and Number Theory
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