Higher Auslander’s Formula | International Mathematics Research Notices | Oxford
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In this paper we consider a notion of pointwise Kan extension in double categories that
naturally generalises Dubuc's notion of pointwise Kan extension along enriched functors …

Given any Grothendieck category G, we study the notion of a tilting object of G, proving some
basic facts of tilting theory in this general setting. Our results apply, for instance, to …

A SHORT PROOF OF HRS-TILTING 1. Introduction Let A be an abelian category. Recall that
a torsion pair on A is a pair (T , F ) of Page 1 PROCEEDINGS OF THE AMERICAN …

The notion of an extriangulated category gives a unification of existing theories in exact or
abelian categories and in triangulated categories. In this article, we develop Auslander …

This paper represents a first attempt to construct a Morita theory for derived categories,
analogous to the classical theory for module categories of rings [l, lo]. Our motivation comes …

Let $\mathcal B $ be an extriangulated category with enough projectives and enough
injectives. We define a proper $ m $-term subcategory $\mathcal G $ on $\mathcal B …

arXiv:1707.07339v1 [math.LO] 23 Jul 2017 Page 1 arXiv:1707.07339v1 [math.LO] 23 Jul 2017
FINITE INVERSE CATEGORIES AS SIGNATURES DIMITRIS TSEMENTZIS AND MATTHEW …

The main theme of this paper is to study $\tau $-tilting subcategories in an abelian category
$\mathscr {A} $ with enough projective objects. We introduce the notion of $\tau $-cotorsion …

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 …