To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

We study t-structures with Grothendieck hearts on compactly generated triangulated
categories TT that are underlying categories of strong and stable derivators. This setting …

We study when the heart of at-structure in a triangulated category D with coproducts is AB5
or a Grothendieck category. If D satisfies Brown representability, at-structure has an AB5 …

We prove that, given any strong and stable derivator and a t-structure in its base triangulated
category D, the t-structure canonically lifts to all the (coherent) diagram categories and each …

We show that an abelian category can be exactly, fully faithfully embedded into a module
category as the right perpendicular subcategory to a set of modules or module morphisms if …

We introduce symmetric subcategories of abelian categories and show that the derived
category of the endomorphism ring of any good tilting module over a ring is a recollement of …

In this paper we revisit the problem of determining when the heart of a t-structure is a
Grothendieck category, with special attention to the case of the Happel-Reiten-Smal …

Title: Representations of algebras, geometry and physics: Maurice Auslander Distinguished
Lectures and International Conference, April 25-30, 2018, Woods Hole Oceanographic …

高维刚性子范畴和t-结构 Page 1 山东大学学报(理学版)2020年12月第55卷第12期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.55ꎬ No.12ꎬ 2020 http:/ / lxbwk.njournal.sdu.edu.cn …

Tilting modules, generalising the notion of progenerator, furnish equivalences between
pieces of module categories. This paper is dedicated to study how much these pieces say …