15 citations · 15 across the 2 of their papers we have counts for
6 papers · 1 filter
A -tilting approach to the first Brauer-Thrall conjecture
Sibylle Schroll, Hipolito Treffinger
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 in…
On band modules and -tilting finiteness
Sibylle Schroll, Hipolito Treffinger, Yadira Valdivieso
In this paper, motivated by a -tilting version of the Brauer-Thrall Conjectures, we study general properties of band modules and their endomorphisms in the module category of a…
Stratifying systems through -tilting theory
Octavio Mendoza, Hipolito Treffinger
In this paper we first show that every non-zero -rigid -module induces at least one stratifying system in the module category of . Moreover, we show that each of these str…
Stability Conditions and Maximal Green Sequences in Abelian Categories
Thomas Brüstle, David Smith, Hipolito Treffinger
In this paper we study the stability functions on abelian categories introduced by Rudakov in \cite{Ru} and their relation with torsion classes and maximal green sequences. Moreove…
Wall and Chamber Structure for finite-dimensional Algebras
Thomas Brüstle, David Smith, Hipolito Treffinger
We use -tilting theory to give a description of the wall and chamber structure of a finite dimensional algebra. We also study -generic paths in the wall and chambe…
Stability conditions, -tilting Theory and Maximal Green Sequences
Thomas Brüstle, David Smith, Hipolito Treffinger
Extending the notion of maximal green sequences to an abelian category, we characterize the stability functions, as defined by Rudakov, that induce a maximal green sequence in an a…