Throughout, let K be an algebraically closed field of characteristic 0. We provide a generic
classification of locally free representations of Geiß-Leclerc-Schröer's algebras HK (C, D, Ω) …

In this short note, we state a stable and a $\tau $-reduced version of the second Brauer-
Thrall Conjecture. The former is a slight strengthening of a brick version of the second …

We study two classes of torsion classes that generalize functorially finite torsion classes, that
is, semistable torsion classes and morphism torsion classes. Semistable torsion classes are …

For any algebra AA over an algebraically closed field FF, we say that an AA‐module MM is
Schurian if End A (M)≅ F End_A(M)≅F. We say that AA is Schurian‐finite if there are only …

In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced
and the category of a partitioned fan is defined as a generalisation of the τ τ‐cluster …

We compare the notions of τ-tilting finiteness and representation-finiteness of the biserial
algebras. In particular, we treat the minimal representation-infinite biserial algebras and give …

In this paper we study the behaviour of modules over finite dimensional algebras whose
endomorphism algebra is a division ring. We show that there are finitely many such modules …

Motivated by a new conjecture on the behavior of bricks, we start a systematic study of
minimal-tilting infinite (min--infinite, for short) algebras. In particular, we treat min--infinite …

Demonet, Iyama and Jasso introduced a new class of finite dimensional algebras, $\tau $-
tilting finite algebras. It was shown by Eisele, Janssens and Raedschelders that tame blocks …

The term τ-tilting theory was coined by Adachi, Iyama and Reiten in [1] at the beginning of
the 2010s. In their paper, the authors created a fresh approach to the study of two classical …