Constructing homogeneous Gorenstein ideals

Sema Güntürkün; Uwe Nagel

doi:10.1016/j.jalgebra.2013.11.015

Constructing homogeneous Gorenstein ideals

Sema Güntürkün
, Uwe Nagel

Mathematics

Producción científica: Article › revisión exhaustiva

2 Citas (Scopus)

Resumen

In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.

Idioma original	English
Páginas (desde-hasta)	107-124
Número de páginas	18
Publicación	Journal of Algebra
Volumen	401
DOI	https://doi.org/10.1016/j.jalgebra.2013.11.015
Estado	Published - mar 1 2014

Nota bibliográfica

Funding Information:
Part of the work for this paper was done while the second author was partially supported by the National Security Agency under Grant Number H98230-12-1-0247 .

Financiación

Part of the work for this paper was done while the second author was partially supported by the National Security Agency under Grant Number H98230-12-1-0247 .

Financiadores	Número del financiador
National Security Agency	H98230-12-1-0247

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2013.11.015

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title = "Constructing homogeneous Gorenstein ideals",

abstract = "In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.",

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author = "Sema G{\"u}nt{\"u}rk{\"u}n and Uwe Nagel",

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AU - Güntürkün, Sema

AU - Nagel, Uwe

N1 - Funding Information: Part of the work for this paper was done while the second author was partially supported by the National Security Agency under Grant Number H98230-12-1-0247 .

PY - 2014/3/1

Y1 - 2014/3/1

N2 - In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.

AB - In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.

KW - Elementary biliaison

KW - Free resolution

KW - Gorenstein ideal

KW - Liaison

UR - https://www.scopus.com/pages/publications/84891365595

UR - https://www.scopus.com/pages/publications/84891365595#tab=citedBy

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DO - 10.1016/j.jalgebra.2013.11.015

M3 - Article

AN - SCOPUS:84891365595

SN - 0021-8693

VL - 401

SP - 107

EP - 124

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Constructing homogeneous Gorenstein ideals

Resumen

Nota bibliográfica

Financiación

ASJC Scopus subject areas

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