On reflexive and 𝐼-Ulrich modules over curve singularities
On reflexive and 𝐼-Ulrich modules over curve singularities Main Article Contents Mathematics
References Article Info Settings On reflexive and -Ulrich modules over curve singularities By …
References Article Info Settings On reflexive and -Ulrich modules over curve singularities By …
On the subcategories of n-torsionfree modules and related modules
S Dey, R Takahashi - Collectanea Mathematica, 2023 - Springer
Let R be a commutative noetherian ring. Denote by mod\, R mod R the category of finitely
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …
generated R-modules. In this paper, we study n-torsionfree modules in the sense of …
A common framework for test ideals, closure operations, and their duals
N Epstein, J Vassilev - arXiv preprint arXiv:2501.03797, 2025 - arxiv.org
Closure operations such as tight and integral closure and test ideals have appeared
frequently in the study of commutative algebra. This articles serves as a survey of the …
frequently in the study of commutative algebra. This articles serves as a survey of the …
[PDF][PDF] Reflexivity revisited
M Asgharzadeh - arXiv preprint arXiv:1812.00830, 2018 - arxiv.org
arXiv:1812.00830v6 [math.AC] 14 Dec 2022 Page 1 arXiv:1812.00830v6 [math.AC] 14 Dec
2022 REFLEXIVITY REVISITED MOHSEN ASGHARZADEH Abstract. We study some aspects of …
2022 REFLEXIVITY REVISITED MOHSEN ASGHARZADEH Abstract. We study some aspects of …
The set of trace ideals of curve singularities
T Kobayashi, S Kumashiro - Israel Journal of Mathematics, 2024 - Springer
We investigate a problem of when commutative local domains have a finite number of trace
ideals. The problem is left for the case of dimension one. In this paper, with a necessary …
ideals. The problem is left for the case of dimension one. In this paper, with a necessary …
When are trace ideals finite?
S Kumashiro - Mediterranean Journal of Mathematics, 2023 - Springer
In this paper, we study Noetherian local rings R having a finite number of trace ideals. We
proved that such rings are of dimension at most two. Furthermore, if the integral closure of …
proved that such rings are of dimension at most two. Furthermore, if the integral closure of …
Generalized trace submodules and centers of endomorphism rings
J Lyle - arXiv preprint arXiv:2311.00220, 2023 - arxiv.org
Let $ R $ be a commutative Noetherian local ring and $ M $ a finitely generated $ R $-
module. We introduce a general form of the classically studied trace map that unifies several …
module. We introduce a general form of the classically studied trace map that unifies several …
Some Categorical Aspects of Commutative Algebra
S Dey - 2023 - search.proquest.com
The purpose of this work is to study commutative Noetherian rings by studying certain
subcategories of the category of finitely generated modules over such rings. We begin by …
subcategories of the category of finitely generated modules over such rings. We begin by …
Cohen–Macaulay test ideals over rings of finite and countable Cohen–Macaulay type
J Benali, S Pothagoni, R RG - Involve, a Journal of Mathematics, 2021 - msp.org
RG and Pérez proved that under certain conditions the test ideal of a module closure agrees
with the trace ideal of the module closure. We use this fact to compute the test ideals of …
with the trace ideal of the module closure. We use this fact to compute the test ideals of …