The residue field as a high syzygy

Claudia Miller; Hamidreza Rahmati; Janet Striuli

doi:10.1080/00927872.2017.1404084

The residue field as a high syzygy

Claudia Miller, Hamidreza Rahmati, Janet Striuli

Department of Mathematics

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

Abstract

In this paper, we study commutative local rings whose residue field is a high syzygy. We are able to characterize such rings with embedding dimension at most 3 as those that are Artinian and Gorenstein.

Original language	English (US)
Pages (from-to)	2620-2630
Number of pages	11
Journal	Communications in Algebra
Volume	46
Issue number	6
DOIs	https://doi.org/10.1080/00927872.2017.1404084
State	Published - Jun 3 2018

Keywords

Gorenstein ring
infinite syzygy

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2017.1404084

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abstract = "In this paper, we study commutative local rings whose residue field is a high syzygy. We are able to characterize such rings with embedding dimension at most 3 as those that are Artinian and Gorenstein.",

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author = "Claudia Miller and Hamidreza Rahmati and Janet Striuli",

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AU - Striuli, Janet

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JO - Communications in Algebra

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The residue field as a high syzygy

Abstract

Keywords

ASJC Scopus subject areas

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