… is of finite representation type. Finally, we give a characterization of 1-Gorenstein monomial
… S(−j) ∈ thick T for any simple A0-module S and j<i since A0 has finite global dimension. It …

… algebra H which is of finite representation type. Finally, we give a characterization of 1-Gorenstein
monomial algebras, and describe their singularity categories clearly by using the …

… that for a Gorenstein algebra A, its singularity category is … up to the Cohen-Macaulay
representation type, and give some … In this subsection, first we collect basic facts on DG categories …

… Tate cohomology for Gorenstein rings. In the representation theory of finite-dimensional …
scholars (we refer the reader to [7] for some basic knowledge about this topic). In particular, …

… used to study representations of finite groups and more … implies that simple A e -modules
are summands of modules of the form S ⊗ k S ′ where S ′ is simple over A o and S is simple …

… Gorenstein ring, we prove that the complete intersections over which the stable categories of
resolving subcategories have trivial singularity categories are the simple … in representation …

… -projective Gorenstein scheme with isolated singularities, F a … We denote the simple A-modules
by S1,...,St. Then the … In particular, ∆R(A) is of discrete representation type. (b) All …

… kind of triangular matrix algebras, which are called simple gluing algebras, we describe their
singularity categories and Gorenstein … has finite global dimension if and only if its singularity …

… is an n-Iwanaga–Gorenstein, or simply n-Gorenstein, algebra if the injective dimension of …
of this section shows that T2( ) is of finite representation type if and only if T3( ) is of finite CM-…

… We describe the singularity category and the Gorenstein … We assume that g has a j th
representative g j : Ω ′ j F ( X ) → Ω … isomorphism δ and simply denote the triangle functor by F ⁠. …