[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 …
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 subcategories in extriangulated categories
B Zhu, X Zhuang - Frontiers of Mathematics in China, 2020 - Springer
Extriangulated category was introduced by H. Nakaoka and Y. Palu to give a unification of
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …
properties in exact categories and triangulated categories. A notion of tilting (resp., cotilting) …
[HTML][HTML] Silting theory in triangulated categories with coproducts
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …
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 …
Semi-tilting complexes
J Wei - Israel Journal of Mathematics, 2013 - Springer
We introduce the notion of semi-tilting complexes, which is a small generalization of tilting
complexes. Interesting examples include APR-semitilting complexes, etc. Note that non …
complexes. Interesting examples include APR-semitilting complexes, etc. Note that non …
[HTML][HTML] Derived equivalences induced by big cotilting modules
J Šťovíček - Advances in Mathematics, 2014 - Elsevier
We prove that given a Grothendieck category G with a tilting object of finite projective
dimension, the induced triangle equivalence sends an injective cogenerator of G to a big …
dimension, the induced triangle equivalence sends an injective cogenerator of G to a big …
[HTML][HTML] Cosilting complexes and AIR-cotilting modules
P Zhang, J Wei - Journal of Algebra, 2017 - Elsevier
We introduce and study the new concepts of cosilting complexes, cosilting modules and AIR-
cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modules …
cotilting modules. We prove that the three concepts AIR-cotilting modules, cosilting modules …
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 …
All tilting modules are of finite type
S Bazzoni, J Šťovíček - Proceedings of the American Mathematical Society, 2007 - ams.org
ALL TILTING MODULES ARE OF FINITE TYPE 1. Introduction In the early eighties Brenner
and Butler in [9] and Happel and Ringel in Page 1 PROCEEDINGS OF THE AMERICAN …
and Butler in [9] and Happel and Ringel in Page 1 PROCEEDINGS OF THE AMERICAN …