The finitistic dimension conjecture via DG-rings
L Shaul - arXiv preprint arXiv:2209.02068, 2022 - arxiv.org
Given an associative ring $ A $, we present a new approach for establishing the finiteness of
the big finitistic projective dimension $\operatorname {FPD}(A) $. The idea is to find a …
the big finitistic projective dimension $\operatorname {FPD}(A) $. The idea is to find a …
Bounded -structures, finitistic dimensions, and singularity categories of triangulated categories
R Biswas, H Chen, KM Rahul, CJ Parker… - arXiv preprint arXiv …, 2023 - arxiv.org
Recently, Amnon Neeman settled a bold conjecture by Antieau, Gepner, and Heller
regarding the relationship between the regularity of finite-dimensional noetherian schemes …
regarding the relationship between the regularity of finite-dimensional noetherian schemes …
G-dimensions for DG-modules over commutative DG-rings
J Hu, X Yang, R Zhu - arXiv preprint arXiv:2304.00527, 2023 - arxiv.org
We define and study a notion of G-dimension for DG-modules over a non-positively graded
commutative noetherian DG-ring A. Some criteria for the finiteness of the G-dimension of a …
commutative noetherian DG-ring A. Some criteria for the finiteness of the G-dimension of a …
Intersection Theorem for DG-modules
X Yang - arXiv preprint arXiv:2405.00240, 2024 - arxiv.org
Let A be a commutative noetherian local DG-ring with bounded cohomology. The
Intersection Theorem for DG-modules is examined and some of its applications are …
Intersection Theorem for DG-modules is examined and some of its applications are …
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 …