Module structure of an injective resolution

C. Y.Jean Chan; I. Chiau Huang

doi:10.1080/00927870701404770

Module structure of an injective resolution

Research output: Contribution to journal › Article › peer-review

Abstract

Let A be the ring obtained by localizing the polynomial ring [X, Y, Z, W] over a field at the maximal ideal (X, Y, Z, W) and modulo the ideal (XW-YZ). Let be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/ in detail using local cohomology. Applications include the description of [image omitted], where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of [image omitted].

Original language	English
Pages (from-to)	3713-3750
Number of pages	38
Journal	Communications in Algebra
Volume	35
Issue number	11
DOIs	https://doi.org/10.1080/00927870701404770
State	Published - Nov 2007
Externally published	Yes

Keywords

Generalized fraction
Injective module
Injective resolution
Local cohomology
Yoneda algebra

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10.1080/00927870701404770

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AU - Chan, C. Y.Jean

AU - Huang, I. Chiau

PY - 2007/11

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N2 - Let A be the ring obtained by localizing the polynomial ring [X, Y, Z, W] over a field at the maximal ideal (X, Y, Z, W) and modulo the ideal (XW-YZ). Let be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/ in detail using local cohomology. Applications include the description of [image omitted], where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of [image omitted].

AB - Let A be the ring obtained by localizing the polynomial ring [X, Y, Z, W] over a field at the maximal ideal (X, Y, Z, W) and modulo the ideal (XW-YZ). Let be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/ in detail using local cohomology. Applications include the description of [image omitted], where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of [image omitted].

KW - Generalized fraction

KW - Injective module

KW - Injective resolution

KW - Local cohomology

KW - Yoneda algebra

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JO - Communications in Algebra

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Module structure of an injective resolution

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Keywords

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