Schanuel's lemma for extriangulated categories
Hangyu Yin
TL;DR
This paper extends Schanuel's lemma, a fundamental result in homological algebra, to the setting of extriangulated categories, broadening its applicability in modern category theory.
Contribution
It introduces an injective version of Schanuel's lemma specifically tailored for extriangulated categories, a recent generalization of exact and triangulated categories.
Findings
Established the injective Schanuel's lemma in extriangulated categories
Extended classical homological algebra results to a broader categorical context
Provided foundational tools for future research in extriangulated homological algebra
Abstract
In the context of extriangulated categories, we establish the injective version of Schanuel's lemma in homological algebra.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra