Schanuel's Lemma for Exact categories
Martin Mathieu, Michael Rosbotham
TL;DR
This paper extends Schanuel's lemma, a fundamental result in homological algebra, to the context of exact categories, providing a new injective version applicable in broader categorical settings.
Contribution
It introduces an injective version of Schanuel's lemma within the framework of exact categories, expanding its applicability beyond abelian categories.
Findings
Established an injective Schanuel's lemma for exact categories
Extended homological algebra tools to more general categorical contexts
Provided foundational results for future research in exact categories
Abstract
We prove an injective version of Schanuel's lemma from homological algebra in the setting of exact categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Rings, Modules, and Algebras