Given a graded-commutative ring acting centrally on a triangulated category, our main result
shows that if cohomology of a pair of objects of the triangulated category is finitely generated …

ON THE VANISHING OF COHOMOLOGY IN TRIANGULATED CATEGORIES 1. Introduction
Page 1 Homology, Homotopy and Applications, vol.13(2), 2011, pp.19–36 ON THE VANISHING …

Recently a construction of local cohomology functors for compactly generated triangulated
categories admitting small coproducts is introduced and studied by Benson, Iyengar …

Mathematische Annalen Page 1 Math. Ann. (2012) 353:109–125 DOI 10.1007/s00208-011-0674-z
Mathematische Annalen Descent in triangulated categories Paul Balmer Received: 8 June …

Let CC be a triangulated category and EE a proper class of triangles. We show that Tate
cohomology in triangulated category is balanced, ie there is an isomorphism E xt ̂ P i (A …

In this paper, we prove a version of Freyd's generating hypothesis for triangulated
categories: if D is a cocomplete triangulated category and S∈ D is an object whose …

Given a bounded-above cochain complex of modules over a ring, it is standard to replace it
by a projective resolution, and it is classical that doing so can be very useful. Recently, a …

arXiv:2310.07302v1 [math.RT] 11 Oct 2023 Page 1 arXiv:2310.07302v1 [math.RT] 11 Oct 2023
Schanuel’s lemma for extriangulated categories Hangyu Yin Abstract In the context of …

Cohomological symmetry in triangulated categories Page 1 Journal of Algebra 347 (2011)
143–152 Contents lists available at SciVerse ScienceDirect Journal of Algebra www.elsevier.com/locate/jalgebra …

We give a simultaneous generalization of recollements of abelian categories and
triangulated categories, which we call recollements of extriangulated categories. For a …