过去一年中添加的文章,按日期排序

[PDF][PDF] An Introduction to Categories and Homological Algebra

M Kashiwara, P Schapira - webusers.imj-prg.fr
21 天前 - … reminders on the categories Set of sets and Mod(A) of modules over a (not necessarily
commutative) ring A. Then we explain the basic language of categories and functors. A …

The stable category of monomorphisms between (Gorenstein) projective modules with applications

A Bahlekeh, FS Fotouhi, MA Hamlehdari… - arXiv preprint arXiv …, 2024 - arxiv.org
29 天前 - local ring and let ω ∈ n be non-zero divisor. This paper is concerned with the two
categories … We should remark that the singularity category Dsg(R) is by definition the Verdier …

The p-adic Simpson Correspondence and Hodge-Tate Local Systems

A Abbes, M Gros - 2024 - Springer
31 天前 - … We treat the case of schemes with toric singularities using logarithmic geometry but,
for … Observe that since the stalks of the ring 𝒪𝔛 [ 1 𝑝 ] are not necessarily local rings, locally

Gorenstein D-branes of type B

A Bahlekeh, FS Fotouhi, A Nateghi… - arXiv preprint arXiv …, 2024 - arxiv.org
123 天前 - … that the singularity category of the factor ring R = S/(ω) as well as the category of D-…
commutative noetherian ring to characterize Gorenstein local rings: a commutative noethrian …

Compactness of the Alexandrov topology of maximal Cohen-Macaulay modules

K Kimura - arXiv preprint arXiv:2401.04987, 2024 - arxiv.org
165 天前 - … (2) The singular locus Sing(R) of R is defined as the set of prime ideals of R
such that Rp is not a regular local ring. We say that R has an isolated singularity if any non-maximal …

Colocalizing subcategories of singularity categories

C Verasdanis - arXiv preprint arXiv:2311.02645, 2023 - arxiv.org
232 天前 - ring R is called a regular ring if Rp is a regular local ring, ie, gldimRp < ∞, for all p ∈
Spec R (this is just one of the many equivalent definitions of a regular local ring). … local ring. …

Some Categorical Aspects of Commutative Algebra

S Dey - 2023 - search.proquest.com
282 天前 - … a local ring, we compare Ext1 R(−,−) with Ext1 R(−,−)µ in many cases and give sevral
characterization of a local ring … is a cyclic quotient singularity with Ul(R) having at most two …