A characterization of long exact sequences coming from the snake lemma
Category Theory
2010-06-23 v2 Rings and Algebras
Representation Theory
Abstract
Given an abelian category, we characterize the long exact sequences of length six which can be obtained from the snake lemma. Equivalently, these are the long exact sequences which arise as the homology of a triangle in the corresponding derived bounded category.
Keywords
Cite
@article{arxiv.0906.1286,
title = {A characterization of long exact sequences coming from the snake lemma},
author = {Jan Stovicek},
journal= {arXiv preprint arXiv:0906.1286},
year = {2010}
}
Comments
10 pages, minor corrections, in particular making the arguments regarding the construction of diagrams (\Delta) and (\Xi) more precise