Recollements and tilting modules

X Ma, T Zhao - Communications in Algebra, 2020 - Taylor & Francis
Let (mod Λ′, mod Λ, mod Λ ″) be a recollement of module categories for artin algebras
Λ′, Λ and Λ ″. We provide a sufficient condition such that a glued torsion pair in mod Λ is …

Support -tilting modules and recollements

X Ma, Z Xie, T Zhao - arXiv preprint arXiv:1801.02343, 2018 - arxiv.org
Let $(\mbox {mod}\Lambda',\mbox {mod}\Lambda,\mbox {mod}\Lambda'') $ be a recollement
of abelian categories for artin algebras $\Lambda'$, $\Lambda $ and $\Lambda''$. Under …

Tilting Modules and the Subcategories (C M i )

MI Platzeck, NI Pratti - Communications in Algebra®, 2006 - Taylor & Francis
In this article we further study the full subcategories of the category of finitely generated
modules over an Artin algebra introduced in Platzeck and Pratti, consisting of the modules …

Equivalences induced by infinitely generated tilting modules

S Bazzoni - Proceedings of the American Mathematical Society, 2010 - ams.org
We generalize Brenner and Butler's Theorem as well as Happel's Theorem on the
equivalences induced by a finitely generated tilting module over Artin algebras, to the case …

A characterization of the tilting pair

J Wei, C Xi - Journal of algebra, 2007 - Elsevier
Let A be an Artin algebra. Following Miyashita, a pair (C, T) in A-mod is called tilting
provided both C and T are selforthogonal such that T∈ addACˆ and C∈ addATˇ. In this …

Gradings and derived categories

EL Green, D Happel - Algebras and Representation Theory, 2011 - Springer
Let \mathcalG be a group, Λ a \mathcalG-graded Artin algebra and gr (Λ) denote the
category of finitely generated \mathcalG-graded Λ-modules. This paper provides a …

Infinitely generated complements to partial tilting modules

L Angeleri-Hügel, FU Coelho - Mathematical Proceedings of the …, 2002 - cambridge.org
Infinitely generated complements to partial tilting modules Page 1 Math. Proc. Camb. Phil.
Soc. (2002), 132, 89 c© Cambridge Philosophical Society DOI: 10.1017/S0305004101005394 …

[PDF][PDF] On the quiver of tilting modules

D Happel, L Unger - Journal of Algebra, 2005 - core.ac.uk
Let Λ be an Artin algebra over a commutative Artin ring R and let modΛ be the category of
finitely generated left Λ-modules. For a module M∈ modΛ, we denote by pdΛ M the …

[HTML][HTML] Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes

R Colpi, A Tonolo, J Trlifaj - Journal of Pure and Applied Algebra, 2007 - Elsevier
Let R be a ring and P be an (infinite dimensional) partial tilting module. We show that the
perpendicular category of P is equivalent to the full module category Mod-S where S= End …

[引用][C] On a Partial Order of Tilting Modules: Dedicated to the memory of Sheila Brenner

D Happel, L Unger - Algebras and Representation Theory, 2005 - Springer
Let be an Artin algebra over a commutative Artin ring R and let mod be the category of
finitely generated left-modules. For a module M∈ mod we denote by pd M the projective …