t-Structures and cotilting modules over commutative noetherian rings
L Angeleri Hügel, M Saorín - Mathematische Zeitschrift, 2014 - Springer
For a commutative noetherian ring\(R\), we establish a bijection between the resolving
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …
[PDF][PDF] Localizations of the category of A∞ categories and internal Homs over a ring
A Canonaco, M Ornaghi, P Stellari - arXiv preprint arXiv:2404.06610, 2024 - sites.unimi.it
We show that, over an arbitrary commutative ring, the localizations of the categories of dg
categories, of cohomologically unital, of unital and of strictly unital A∞ categories with …
categories, of cohomologically unital, of unital and of strictly unital A∞ categories with …
[PDF][PDF] Noetherian and totally noetherian rings and modules
FG Omar, PJ Martínez, ES Aláez - 2023 - ugr.es
Given a commutative ring A there are different approaches to understand its structure; one is
consider ideals and their arithmetic (multiplicative theory), and another one is to consider …
consider ideals and their arithmetic (multiplicative theory), and another one is to consider …
On the heart associated with a torsion pair
F Mantese, A Tonolo - Topology and its Applications, 2012 - Elsevier
Given an associative ring R and a torsion pair (T, F) in the category of right R-modules, the
heartH (T, F) associated with (T, F) is an abelian subcategory of the bounded derived …
heartH (T, F) associated with (T, F) is an abelian subcategory of the bounded derived …
Symmetric monoidal structure with local character is a property
In previous work we proved that, for categories of free finite-dimensional modules over a
commutative semiring, linear compact-closed symmetric monoidal structure is a property …
commutative semiring, linear compact-closed symmetric monoidal structure is a property …
A note on higher almost ring theory
F Hebestreit, P Scholze - arXiv preprint arXiv:2409.01940, 2024 - arxiv.org
arXiv:2409.01940v1 [math.AC] 3 Sep 2024 Page 1 arXiv:2409.01940v1 [math.AC] 3 Sep 2024 A
NOTE ON HIGHER ALMOST RING THEORY FABIAN HEBESTREIT AND PETER SCHOLZE …
NOTE ON HIGHER ALMOST RING THEORY FABIAN HEBESTREIT AND PETER SCHOLZE …
Pure projective approximations
I Herzog, P Rothmaler - Mathematical Proceedings of the Cambridge …, 2009 - cambridge.org
A notion of good behavior is introduced for a definable subcategory of left R-modules. It is
proved that every finitely presented left R-module has a pure projective left-approximation if …
proved that every finitely presented left R-module has a pure projective left-approximation if …
[引用][C] Torsion and universal horn classes of modules
M Prest - Journal of the London Mathematical Society, 1979 - academic.oup.com
Let R be a ring with 1 and let JiR be the category of right. R-modules. Our concern will be
with subclasses of MR obtained from preradicals on MR, more precisely with comparing the …
with subclasses of MR obtained from preradicals on MR, more precisely with comparing the …
[PDF][PDF] The Greenless-May Duality and the MGM Equivalence in the category of chain complexes
T Abebaw, A Mamo, D Ssevviiri… - arXiv preprint arXiv …, 2022 - academia.edu
Let A be a commutative unital ring. We prove the MGM equivalence and the Greenless-May
duality in the category of chain complexes of A-modules. This extends the above notions …
duality in the category of chain complexes of A-modules. This extends the above notions …