Thick subcategory
Web19 Dec 2013 · We show that every thick subcategory of the singularity category of a complete intersection ring is self dual. We also prove the analogous statement for thick subcategories of the bounded derived category and give applications to the symmetry of vanishing of cohomology. In order to prove these results for the bounded derived … Web1 Apr 2015 · Examples of thick subcategory. I'd like to know several examples of thick/Serre subcategory of an abelian category, I have no one in mind now. Help me please! I've just …
Thick subcategory
Did you know?
Web552 A. BELIGIANNIS AND H. KRAUSE For a left Gorenstein algebra Λ the following conditions are equivalent. (1) The algebra Λ is right Gorenstein. (2) The finitistic … WebThe Verdier quotient of a triangulated category by a thick subcategory. The stable category of a Frobenius category. For an abelian category $\mathcal{A}$ and its torsionfree class …
Web22 Dec 2024 · N: a thick subcategory of C N: a biresolving subcategory :,It satisfies For any C 2C, there is an s-deflation N C with N 2N. For any C 2C, there is an s-inflation C ˆN with N 2N. Note that biresolving subcategories coincide with thick subcategories when (C,E,s) is a triangulated category. A. Sakai (Nagoya Univ.) December 22, 2024 32/64 WebHiroki Matsui. Vol. 313 (2024), No. 2, 433–457. DOI: 10.2140/pjm.2024.313.433. Abstract. For an essentially small triangulated category T, we introduce the notion of prime thick …
Web31 Jan 2012 · viewed as a full subcategory of Thick(S). It is not hard to verify that this is a thick. subcategory when V is sp ecialization closed. Theorem 3.2 yields a p erfect … WebIt seems to me that a classification of thick subcategories of a (tensor-) triangulated category is a good thing to have when you have some, relatively generic, thick …
http://matwbn.icm.edu.pl/ksiazki/fm/fm153/fm15314.pdf
WebA parallel notion is more relevant for "small" triangulated categories: a thick subcategory of a triangulated category C is a strictly full triangulated subcategory that is closed under … takla foodWebsification of the thick subcategories of perfect Differential Graded modules over suitableDGalgebras. TheresultaboutkG-modulesisthendeducedfromitbya series of reductions, following the paradigm developed in the work of the second ... full subcategory consisting of DG modules M for which the S-module H(M)is finitely generated. The basic ... breeze blocks prices b\u0026qWeb6 Jul 2024 · Abstract. Let R be a commutative Noetherian local ring. We consider how nontrivial resolving/thick subcategories of abelian/triangulated categories associated to R … takkupa konstruktionWeb5 Jun 2024 · A thick subcategory $ \mathfrak A ^ \prime $ is a localizing subcategory if and only if: 1) every object of $ \mathfrak A $ has a largest subobject in $ \mathfrak A ^ … takko ricklingenWebThick subcategories. Posted on September 24, 2011. Here are two definitions as currently in the stacks project: A Serre subcategory of an abelian category is a strictly full … takkunu hindiWeb1 Jul 2007 · Under this isomorphism, a thick support S corresponds to the thick subcategory T S consisting of all complexes X such that Supp (X) ⊆ S, and a thick subcategory C corresponds to the thick support ⋃ X ∈ C Supp (X). Using this theorem, we now work our way to the Krull–Schmidt theorem for thick subcategories of perfect … breezeblocks x take a slice osuWeb10 Nov 2010 · The main result of this paper yields a complete classification of the thick subcategories of the stable category of Cohen–Macaulay modules over a local … breezeblocks x take a slice