A categorical approach to linkage
type: Item
instance of: scholarly article
title: A categorical approach to linkage
zbMATH Open document ID: 1470.13020
author: Alexander York
published in: Applied Categorical Structures
publication date: 2021-08-09T00:00:00Z
review text: The study of linkage (or liaison) theory goes back more than a century, in different guises, but has been a very active area of study at least since the 1970's. It began primarily as the study of linkage of ideals (using either complete intersections or using Gorenstein ideals for the links), and at the same time there has also been a scheme-theoretic point of view. It then progressed in the 1990's to the study of module linkage. The paper under review produces a new framework on which to perform linkage from the perspective of category theory, which generalizes the versions just mentioned. From this point of view, this paper defines linkage and gives the first results. It then explores the connections between linkage, homological dimension and duality. A number of interesting applications are given throughout the paper.
reviewed by: Juan C. Migliore
Mathematics Subject Classification ID: 13C40
Mathematics Subject Classification ID: 18G20
Mathematics Subject Classification ID: 13D02
Mathematics Subject Classification ID: 18G25
Mathematics Subject Classification ID: 18G10
zbMATH DE Number: 7379927
zbMATH Keywords: ideal linkage
zbMATH Keywords: module linkage
zbMATH Keywords: category theory
zbMATH Keywords: homological dimensions
zbMATH Keywords: duality
MaRDI profile type: Publication
full work available at URL: s10485-020-09623-9
OpenAlex ID: W3120279667
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DOI: 10.1007/S10485-020-09623-9
description: scientific article; zbMATH DE number 7379927