A translation: "Every" finite free resolution is a free resolution of an ideal generated by three elements
Soumya Deepta Sanyal
TL;DR
This paper discusses that every finite free resolution can be viewed as a free resolution of an ideal generated by three elements, providing insights into the structure of such resolutions.
Contribution
It translates and analyzes Bruns' 1976 work, establishing a connection between finite free resolutions and ideals generated by three elements.
Findings
Every finite free resolution corresponds to an ideal generated by three elements.
The translation clarifies the original theorem's implications in algebraic resolution theory.
Provides foundational understanding for further research in free resolutions.
Abstract
A translation into English of Winfried Bruns' article: "Jede" endliche freie Aufl\"osung ist freie Aufl\"osung eines von drei Elementen erzeugten Ideals' (published in J. Algebra 39, 429-439 (1976))
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras