… category of the Z-graded modules admits a tilting object. Following him, we prove that the
singularity category … endomorphism algebra is isomorphic to the triangular matrix algebra Tk−1(…

… complexes/derived category side so far. We would like to apply Balmer’s theory to … singularity
categories in this paper. In particular, we focus our attention to the singularity category of a …

… singularity categories of rings and we apply them to study the singularity category of triangular
matrix rings. … describe singularity categories of certain non-Gorenstein rings via the stable …

… • Globalising the singularity category: one can define the singularity category of a scheme …
“singularity category”. Orlov shows that the (idempotent completion of the) singularity category …

… , trivial extension rings and tensor rings, we provide some consequences for their … types
of rings, including path rings, triangular matrix rings, trivial extension rings and tensor rings. …

… to show that the contraderived category of left CDG-modules over a CDG-ring B with a
right coherent underlying graded ring is equivalent to the contraderived category of CDG-modules …

… We indicate how recollements of triangulated categories can be obtained … singular models
is Quillen equivalent to Positselskiʼs contraderived model for the homotopy category of matrix …

… In (3) formal triangular matrix rings from the view point of singular … ring, study strong right
Kasch triangular matrix rings. Harada 171 hm introduced the class of right mininjective rings. …

… We prove that the triangulated category of singularities of the … fully and faithfully into the
category of singularities of the LG-… G that the G-equivariant category of singularities on an affine …

… Let T = ( R M 0 S ) be a triangular matrix ring with R and S rings and R M S an R–S-bimodule.
We describe Gorenstein projective modules over T. In particular, we refine a result of …