Generic Gaussian ideals

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

doi:10.1016/S0022-4049(97)80001-1

Generic Gaussian ideals

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

Mathematics

Producción científica: Article › revisión exhaustiva

17 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	117-127
Número de páginas	11
Publicación	Journal of Pure and Applied Algebra
Volumen	125
N.º	1-3
DOI	https://doi.org/10.1016/S0022-4049(97)80001-1
Estado	Published - mar 1998

Nota bibliográfica

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.

Financiación

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.

Financiadores	Número del financiador
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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10.1016/S0022-4049(97)80001-1

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title = "Generic Gaussian ideals",

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.",

author = "Alberto Corso and Vasconcelos, \{Wolmer V.\} and Villarreal, \{Rafael H.\}",

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.",

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AU - Vasconcelos, Wolmer V.

AU - Villarreal, Rafael H.

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AB - 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.

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VL - 125

SP - 117

EP - 127

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 1-3

ER -

Generic Gaussian ideals

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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