A bounded below, noncontractible, acyclic complex of projective modules
L Positselski - Acta Mathematica Hungarica, 2024 - Springer
We construct examples of bounded below, noncontractible, acyclic complexes of finitely
generated projective modules over some rings S, as well as bounded above …
generated projective modules over some rings S, as well as bounded above …
Gorenstein symmetry and acyclic complexes of injectives
L Shaul - arXiv preprint arXiv:2303.08756, 2023 - arxiv.org
By generalizing a recent result of Rickard about relations between unbounded derived
categories and finitistic dimension, we obtain several new characterizations of noetherian …
categories and finitistic dimension, we obtain several new characterizations of noetherian …
Gorenstein acyclic complexes and finitistic dimensions
L Shaul - arXiv preprint arXiv:2310.05247, 2023 - arxiv.org
Given a two-sided noetherian ring $ A $ with a dualizing complex, we show that the big
finitistic dimension of $ A $ is finite if and only if every bounded below Gorenstein-projective …
finitistic dimension of $ A $ is finite if and only if every bounded below Gorenstein-projective …