In this paper, motivated by a τ-tilting version of the Brauer-Thrall Conjectures, we study
general properties of band modules and their endomorphisms in the module category of a …

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 …

On τ-tilting finiteness of the Schur algebra - ScienceDirect Skip to main contentSkip to article
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In this paper, we explain a strategy on g-vectors to discover some new minimal τ-tilting
infinite two-point algebras. Consequently, the τ-tilting finiteness of various two-point …

We treat the τ-tilting finiteness of minimal representation-infinite algebras and particularly the
non-distributive ones. Building upon the new results of Bongartz, we fully determine which …

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 …

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 …

The present paper mainly considers the representation type of the enveloping algebra of
monomial algebra. Let $ A $ be a monomial algebra and $ A^ e= A\otimes_ {\mathrm …

On $$\tau $$ -tilting finiteness of block algebras of direct products of finite groups | Bulletin of
the Iranian Mathematical Society Skip to main content SpringerLink Account Menu Find a …

We consider generic bricks and use them in the study of arbitrary biserial algebras over
algebraically closed fields. For a biserial algebra $\Lambda $, we show that $\Lambda $ is …