Derived categories and tilting
WebFind many great new & used options and get the best deals for VTech RM5766HD 5" Smart Wi-Fi 1080p Pan & Tilt Baby Monitor at the best online prices at eBay! Free shipping for many products! ... Popular categories from this store. See all categories. Audio; Tablets & Accessories; Vacuums; Other; Seller feedback (2,914) y***0 (289) - Feedback ... WebNov 24, 1989 · Derived categories and stable equivalence 305 He also showed that a map with these properties is determined uniquely up to isomorphism by X and fits into a distinguished triangle: Y->X-vX- where vX is the complex of injective modules obtained by applying the Nakayama functor v = D HOmn (-, A) = - x0,DA to a projective resolution of …
Derived categories and tilting
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WebNov 4, 2015 · $\begingroup$ There's no reason to expect colimits to play nicely with derived equivalences. At the very least you want homotopy colimits. But I also don't understand … WebApr 9, 2024 · Find many great new & used options and get the best deals for Fishings Rod Holder Pole Bracket Multi-Tilt Fishings Feeder Tilting Rod Protable at the best online prices at eBay! Free shipping for many products! ... Popular categories from this store. See all categories. Travel; Seller feedback (12,944) t***s (1047) - Feedback left by buyer t ...
WebJun 7, 2010 · When coming back to an ordinary algebra A and a good tilting module T , with B = End A (T ) as its endomorphism algebra, Yang's result implies that D B is a recollement of D A and the derived ... WebTwo rings A and B are said to be derived Morita equivalent if the derived categories Db(Mod A) and Db(Mod B) are equivalent. ... The complex T is called a tilting complex.%When B = A the isomorphism classes of tilting complexes T form the derived Picard group DPic(A). This group acts naturally on the Grothendieck group Ko(A).%It is …
WebWe generalize tilting with respect to a tilting module of projective dimension at most one for an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our construction is motivated by the connection between tilting and derived categories. We develop a general theory for such tilting, and are led to a generalization of tilting … WebCambridge Core - Logic, Categories and Sets - Derived Categories. Skip to main content Accessibility help ... Select 14 - Perfect and Tilting DG Modules over NC DG Rings. 14 - Perfect and Tilting DG Modules over …
WebMay 1, 2024 · Silting and cosilting complexes in the derived category of a ring generalise tilting and cotilting modules. They give rise to subcategories of the derived category, …
WebMay 15, 2024 · Given small dg categories A and B and a B-A-bimodule T, we give necessary and sufficient conditions for the associated derived functors of Hom and the tensor product to be fully faithful. Special emphasis is put on the case when RHom $$_\\mathrm{A}$$ A (T,?) is fully faithful and preserves compact objects, in which case … philosophy\\u0027s y1WebNov 24, 1989 · Every projective-injective indecomposable module P for an algebra must be a direct summand of every tilting or cotilting module for that algebra by a remark of … philosophy\\u0027s yWebLet $X$ be a two-sided tilting complex. Then by adjointness, $$\mathbb R \operatorname{Hom}_A(X,-) \colon D^b (\operatorname{\mathsf{Mod}} A) \rightarrow … philosophy\u0027s yWebJul 7, 2013 · The aim of this paper is to extend tilting theory to arbitrary functor categories, having in mind applications to the functor category Mod (mod Λ ), with Λ a finite … philosophy\u0027s y0WebNov 21, 2024 · A reduction approach to silting objects for derived categories of hereditary categories. Wei Dai, Changjian Fu. Let be a hereditary abelian category over a field with finite dimensional and spaces. It is proved that the bounded derived category has a silting object iff has a tilting object iff has a simple-minded collection with acyclic -quiver. philosophy\u0027s y1WebMar 14, 2024 · SMCs were first studied by in the context of derived categories of symmetric algebras and they were also studied by under the name “cohomologically Schurian set of generators”. The name “SMC” was introduced by [ 29 , Definition 3.2] in general setting. t-shirts catsWebtilting modules, exceptional sequences and a connection to cluster categories. ... and derived categories of finite-dimensional algebras. Open questions on Lie algebras, Bruhat orders, Coxeter groups and Kazhdan Lusztig polynomials are. 4 investigated with the aid of computer programs. The contents of this book philosophy\\u0027s y0