Silting modules

LA Hügel, F Marks, J Vitória - … Mathematics Research Notices, 2016 - academic.oup.com
… partial silting module one can associate a bireflective subcategory … 3.10 that tilting modules
are examples of silting modules. … ) relations between tilting and silting modules, whose proof …

Two-term relative cluster tilting subcategories, τ-tilting modules and silting subcategories

P Zhou, B Zhu - Journal of Pure and Applied Algebra, 2020 - Elsevier
… When R is a silting subcategory of C , we show that the two-term weak R [ 1 ] -cluster tilting
subcategories of C coincide with the two-term silting subcategories of C , see Section 5 and …

[HTML][HTML] Silting and cosilting classes in derived categories

F Marks, J Vitória - Journal of Algebra, 2018 - Elsevier
… rise to subcategories of the derived category, called silting and … We characterise these
subcategories: silting classes are … (co)silting problems in the derived category to (co)tilting

On the abundance of silting modules

LA Hügel - Surveys in Representation Theory of Algebras” …, 2018 - books.google.com
… (not necessarily finitely generated) tilting modules. Moreover, … silting modules are precisely
the support т-tilting modules … support tilting modules and functorially finite wide subcategories

Silting modules

LA Hügel, F Marks, J Vitória - arXiv preprint arXiv:1405.2531, 2014 - arxiv.org
subcategory X of D(A) we denote by X⊥>0 the subcategorytilting modules are examples
of (partial) silting modules. In this subsection we discuss non-tilting examples of silting modules

Extending (τ-)tilting subcategories and (co)silting modules

J Asadollahi, F Padashnik, S Sadeghi… - Communications in …, 2023 - Taylor & Francis
… , the authors of [Citation9] introduced the notion of cosilting modules. … of tilting and τ-tilting
subcategories, on one hand and silting modules, finendo quasi-tilting modules, and cosilting …

Relative torsion classes, relative tilting, and relative silting modules

L Armando Martínez González… - Communications in …, 2022 - Taylor & Francis
modules and his complements [Citation12]. In those papers, … allow us the construction of new
subcategories that are precovering (… of the theory of tilting and cotilting modules giving new …

Torsion classes generated by silting modules

S Breaz, J Žemlička - 2018 - projecteuclid.org
… , [3], or wide subcategories of finitely presented modules [5]. For … modules coincide to (finendo)
quasi-tilting modules. In the … quasi-tilting module then there exists a silting module T such …

A Relative Silting Theorem

R Vahed - Applied Categorical Structures, 2022 - Springer
… the tilting theorem to a silting theorem for a 2-term silting complex over a … general case of a
silting module T over an arbitrary ring A. … The author of [2] considered silting subcategories for …

Silting modules over triangular matrix rings

H Gao, Z Huang - Taiwanese Journal of Mathematics, 2020 - projecteuclid.org
… For a module M ∈ Mod Λ, AddM is the subcategory of Mod Λ … of M and GenM is the
subcategory of ModΛ consisting of … τ-tilting pair if and only if T is a silting module with respect to …