A BRICK VERSION OF A THEOREM OF AUSLANDER Page 1 Nagoya Math. J., 249 (2023),
88–106 DOI 10.1017/nmj.2022.22 A BRICK VERSION OF A THEOREM OF AUSLANDER …

We establish a bijection between torsion pairs in the category of finite-dimensional modules
over a finite-dimensional algebra A and pairs (Z, I) formed by a closed rigid set Z in the …

Abstract The Defect Recollement, Restriction Recollement, Auslander–Gruson–Jensen
Recollement, and others, are shown to be instances of a general construction using zeroth …

Torsion pairs were introduced by Dickson in 1966 as a generalization of the concept of
torsion abelian group to arbitrary abelian categories. Using torsion pairs, we can divide …

In this note, we survey two instances in the representation theory of finite-dimensional
algebras where the quantity of a type of structures is intimately related to the size of those …

We prove a theorem which provides a method of constructing recollements which uses 0-th
derived functors. We will show that the hypotheses of this theorem are very commonly …

The Auslander–Reiten Formula on Finitely Presented Functor Categories | SpringerLink Skip to
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We describe the Ziegler spectra for a large class of self-injective algebras of polynomial
growth representation type. To derive our results, we extend the methods and techniques …

In this expository article, we will give an efficient functorial proof of the equivalence of
various characterisations of purity in a finitely accessible additive category $\mathcal C …