Derived equivalences as derived functors. J Lond Math Soc (2), 1991, 43: 37--38. Google Scholar [7] Rizzardo A, Van den Bergh M. An example of a non-Fourier-Mukai functor between derived categories of coherent
Stable functors of derived equivalences and Gorenstein projective modulesDerived equivalencestable functorGorenstein projective module16G1018E3018G25From certain triangle functors, called non-negative functors, between the bounded derived categories of abelian categories with enough projective objects, we ...
The main ingredients of the proofs are as follows: (1) between the derived categories of two module categories, liftable functors coincide with standard functors; (2) any derived equivalence between a module category and an abelian category is uniquely factorized as the composition of a pseudo-...
Then there is an object K•∈Dcb(X×Y) and an isomorphism of exact functors F≃ΦX→YK•|Dcb(X) .□ As a consequence of the results contained in this section, the set FM(X) can be described as follows: (2.1)≔FM(X)≔{Y such that D(X)≃D(Y)}/≃={Y such that ...
Since Serre functors commute with equivalences, we may conclude that (U,V) is bounded and that SCU⊆U. □ The main goal of this paper is to show that in some cases, the converse of Corollary 4.13 also holds (see Theorem 1.2). 5. Finitely generated aisles Let Λ be a finite-...
is the one in which weak-equivalences, fibrations and cofibrations are exactly the maps which are sent to weak-equivalences, fibrations and cofibrations via the forgetful functor. clearly also the under category \(\mathtt {dga}_s\) is fibrant, with final object still 0 (viewed as an ...
additivefunctor,suchasHomand⊗one,doesnotpreservequasi-isomorphisms [4].Therearevariouskindsofrestrictionsonchaincomplexesthatguarantees quasi-isomorphisms to be homotopy equivalences (see [4], [14], [8], [5]). Here we consider the other kind of restriction by introducing special projective (injec...
Moreover, the standard derived equivalences between these algebras can be thought of simply as mutation sequences (or equivalently, paths in the mutation graph of rigid objects) in a way made precise in Corollary3.16. In this way, we are able to produce a ‘picture’ of the derived equivalen...
For example, the Gorenstein derived functors can beinterpreted as the Hom functors of the Gorenstein derived category; the dimension of the boundedGorenstein derived category is an upper bound of the one of the bounded derived category; andGorenstein derived equivalences relate to derived equivalences....
module structures and the derived functors of iterated loop functors on unstable modules over the steenrod algebra:模块结构和导出函子的迭代函子不稳定模块的steenrod代数上 文档格式: .pdf 文档大小: 855.73K 文档页数: 15页 顶/踩数: 0/0 收藏人数: ...