On the resolution of fan algebras of principal ideals over a Noetherian ring

Teresa Cortadellas Benítez; Carlos D'Andrea; Florian Enescu

doi:10.1016/j.jalgebra.2019.09.002

On the resolution of fan algebras of principal ideals over a Noetherian ring

Teresa Cortadellas Benítez
, Carlos D'Andrea
, Florian Enescu^*

^*Corresponding author for this work

Research output: Indexed journal article › Article › peer-review

Abstract

We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.

Original language	English
Pages (from-to)	61-97
Number of pages	37
Journal	Journal of Algebra
Volume	541
DOIs	https://doi.org/10.1016/j.jalgebra.2019.09.002
Publication status	Published - 1 Jan 2020
Externally published	Yes

Keywords

Convex polyhedral cones
Fan algebra
Fan linear functions
Intersection algebra
Minimal resolutions

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10.1016/j.jalgebra.2019.09.002Licence: Other

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title = "On the resolution of fan algebras of principal ideals over a Noetherian ring",

abstract = "We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.",

keywords = "Convex polyhedral cones, Fan algebra, Fan linear functions, Intersection algebra, Minimal resolutions",

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note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

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doi = "10.1016/j.jalgebra.2019.09.002",

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AB - We construct explicitly a resolution of a fan algebra of principal ideals over a Noetherian ring for the case when the fan is a proper rational cone in the plane. Under some mild conditions on the initial data, we show that this resolution is minimal.

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KW - Fan linear functions

KW - Intersection algebra

KW - Minimal resolutions

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On the resolution of fan algebras of principal ideals over a Noetherian ring

Abstract

Keywords

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