Ore localization and minimal injective resolutions

Rishi Vyas

doi:10.1016/j.jpaa.2013.02.003

Ore localization and minimal injective resolutions

Rishi Vyas

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

1 Scopus citations

Abstract

In this paper, we describe the structure of the localization of ExtRi(R/P,M), where P is a prime ideal and M is a module, at certain Ore sets X. We first study the situation for FBN rings, and then consider matters for a large class of Auslander-Gorenstein rings. We need to impose suitable homological regularity conditions to get results in the more general situation. The results obtained are then used to study the shape of minimal injective resolutions of modules over noetherian rings.

Original language	English
Pages (from-to)	2117-2134
Number of pages	18
Journal	Journal of Pure and Applied Algebra
Volume	217
Issue number	11
DOIs	https://doi.org/10.1016/j.jpaa.2013.02.003
State	Published - 1 Jan 2013
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2013.02.003

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title = "Ore localization and minimal injective resolutions",

abstract = "In this paper, we describe the structure of the localization of ExtRi(R/P,M), where P is a prime ideal and M is a module, at certain Ore sets X. We first study the situation for FBN rings, and then consider matters for a large class of Auslander-Gorenstein rings. We need to impose suitable homological regularity conditions to get results in the more general situation. The results obtained are then used to study the shape of minimal injective resolutions of modules over noetherian rings.",

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AB - In this paper, we describe the structure of the localization of ExtRi(R/P,M), where P is a prime ideal and M is a module, at certain Ore sets X. We first study the situation for FBN rings, and then consider matters for a large class of Auslander-Gorenstein rings. We need to impose suitable homological regularity conditions to get results in the more general situation. The results obtained are then used to study the shape of minimal injective resolutions of modules over noetherian rings.

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DO - 10.1016/j.jpaa.2013.02.003

M3 - Article

AN - SCOPUS:84878417400

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SP - 2117

EP - 2134

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 11

ER -

Ore localization and minimal injective resolutions

Abstract

ASJC Scopus subject areas

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