One-sided Gorenstein rings

LW Christensen, S Estrada, L Liang… - Forum …, 2024 - degruyter.com
Abstract Distinctive characteristics of Iwanaga–Gorenstein rings are typically understood
through their intrinsic symmetry. We show that several of those that pertain to the Gorenstein …

The stable category of Gorenstein flat sheaves on a Noetherian scheme

L Christensen, S Estrada, P Thompson - Proceedings of the American …, 2021 - ams.org
For a semiseparated noetherian scheme, we show that the category of cotorsion Gorenstein
flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category …

The stabilized bounded N-derived category of an exact category

J Frank, M Schulze - arXiv preprint arXiv:2407.18708, 2024 - arxiv.org
Buchweitz related the singularity category of a (strongly) Gorenstein ring and the stable
category of maximal Cohen-Macaulay modules by a triangle equivalence. We phrase his …

[PDF][PDF] The λ-pure singularity categories on a Grothendieck category

X Wang - icra21.sjtu.edu.cn
Neeman [5] considered the derived category of exact categories: Let (A, E) be an exact
category, the derived category of (A, E), denoted by D (A), is the quotient of homotopy …