Minimal free resolutions of differential modules-Reference-Cited by-同舟云学术

Minimal free resolutions of differential modules

Published:2022-08-11 Issue:10 Volume:375 Page:7509-7528
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Brown Michael,Erman Daniel

Abstract

We propose a notion of minimal free resolutions for differential modules, and we prove existence and uniqueness results for such resolutions. We also take the first steps toward studying the structure of minimal free resolutions of differential modules. Our main result in this direction explains a sense in which the minimal free resolution of a differential module is a deformation of the minimal free resolution of its homology; this leads to structural results that mirror classical theorems about minimal free resolutions of modules.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2022-375-10/S0002-9947-2022-08754-7/tran8754_AM.pdf

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