[图书][B] Approximations and endomorphism algebras of modules
R Göbel, J Trlifaj - 2006 - degruyter.com
References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …
Silting modules
LA Hügel, F Marks, J Vitória - … Mathematics Research Notices, 2016 - academic.oup.com
We introduce the new concept of silting modules. These modules generalize tilting modules
over an arbitrary ring, as well as support-tilting modules over a finite dimensional algebra …
over an arbitrary ring, as well as support-tilting modules over a finite dimensional algebra …
Cohen–Macaulay modules,(co) torsion pairs and virtually Gorenstein algebras
A Beligiannis - Journal of Algebra, 2005 - Elsevier
We use torsion pairs in stable categories and cotorsion pairs in modules categories to study,
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …
in general infinitely generated, Cohen–Macaulay modules and (a generalization of) …
The tilting–cotilting correspondence
L Positselski, J Šťovíček - International Mathematics Research …, 2021 - academic.oup.com
To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …
Tilting, cotilting, and spectra of commutative Noetherian rings
L Angeleri Hügel, D Pospíšil, J Šťovíček… - Transactions of the …, 2014 - ams.org
We classify all tilting and cotilting classes over commutative noetherian rings in terms of
descending sequences of specialization closed subsets of the Zariski spectrum …
descending sequences of specialization closed subsets of the Zariski spectrum …
Good tilting modules and recollements of derived module categories
H Chen, C Xi - Proceedings of the London Mathematical Society, 2012 - academic.oup.com
Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …
[HTML][HTML] Silting and cosilting classes in derived categories
F Marks, J Vitória - Journal of Algebra, 2018 - Elsevier
An important result in tilting theory states that a class of modules over a ring is a tilting class
if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective …
if and only if it is the Ext-orthogonal class to a set of compact modules of bounded projective …
Mittag-Leffler conditions on modules
We study Mittag-Leffler conditions on modules providing relative versions of classical results
by Raynaud and Gruson. We then apply our investigations to several contexts. First of all, we …
by Raynaud and Gruson. We then apply our investigations to several contexts. First of all, we …
One dimensional tilting modules are of finite type
S Bazzoni, D Herbera - Algebras and Representation Theory, 2008 - Springer
One Dimensional Tilting Modules are of Finite Type Page 1 Algebr Represent Theor (2008)
11:43–61 DOI 10.1007/s10468-007-9064-3 One Dimensional Tilting Modules are of Finite …
11:43–61 DOI 10.1007/s10468-007-9064-3 One Dimensional Tilting Modules are of Finite …
Tilting complexes and codimension functions over commutative noetherian rings
M Hrbek, T Nakamura, J Šťovíček - arXiv preprint arXiv:2207.01309, 2022 - arxiv.org
In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the" slice" …
object associated with each sp-filtration of the Zariski spectrum satisfying the" slice" …