Lifting of recollements and Gorenstein projective modules

N Gao, J Ma - arXiv preprint arXiv:2209.03192, 2022 - arxiv.org
… such as bounded t-structures, which form … homological ring epimorphism can induce a lifting
of the recollement of the stable category of finitely generated Gorenstein-projective modules

Gorenstein silting modules and Gorenstein projective modules

N Gao, J Ma, CH Zhang - arXiv preprint arXiv:2209.00520, 2022 - arxiv.org
… with silting modules, t-structures, and co-t-structures. Silting … homological algebra. For this
class of algebras, Gao [G2… In the module case, g is called a G-epimorphism and X is called a G-…

Silting complexes and Gorenstein projective modules

N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
… silting complexes, t-structures and torsion pair in module categories; … homological algebra
is to replace projective modules by … In the module case, g is called a G-epimorphism and X is …

Purity and ascent for Gorenstein flat cotorsion modules

I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
… of flat modules, then it must be an epimorphism when Mi = R … flat modules and modules of
finite homological dimensions. … of finitely presented Gorenstein projective objects. The study of …

Invariants and Gorenstein projective modules

N Gao, CH Zhang - arXiv preprint arXiv:2209.03191, 2022 - arxiv.org
… For Gorenstein homological algebra we refer to [10,11,15,16], whose main idea is to … ,
Homological epimorphisms, compactly generated t-structures and Gorenstein projective modules, …

(Gorenstein) silting modules in recollements

N Gao, J Ma - arXiv preprint arXiv:2209.00531, 2022 - arxiv.org
… Silting complexes were first introduced by Keller and Vossieck [23] to study t-structures in …
stein homological algebra is to replace projective modules by Gorenstein-projective modules, …

On the Gorenstein defect categories

J Asadollahi, T Dehghanpour, R Hafezi - 2020 - projecteuclid.org
… morphisms that induce isomorphisms in homology. It is known that … denote the class of all
Gorenstein projective modules. By [15, … and kernel of epimorphisms. One may use the class of …

[HTML][HTML] Change of rings and singularity categories

S Oppermann, C Psaroudakis, T Stai - Advances in Mathematics, 2019 - Elsevier
… new insight into Kontsevich's homological mirror symmetry … the stable category of Gorenstein
projective modules Gproj _ R … of X admits an epimorphism from a projective R-module P X i …

∞-tilting theory

L Positselski, J Šťovíček - Pacific Journal of Mathematics, 2019 - msp.org
… finite homological dimension. It turns out that we still obtain triangulated equivalences and
(co)tilting t-structures, … Let T0 → E be an epimorphism onto E from an object T0 ∈ Add(T) that …

A Relative Silting Theorem

R Vahed - Applied Categorical Structures, 2022 - Springer
homological algebra is a kind of relative homological algebra where projective modules
are replaced by Gorenstein projective modules … of compact objects and certain t-structures. …