10 citations · 10 across the 3 of their papers we have counts for
3 papers
math.RA2016
Algebras sharing the same support -tilting poset with tree quiver algebras
Takuma Aihara, Ryoichi Kase
Happel and Unger reconstructed hereditary algebras from their posets of tilting modules. Inspired by this result, we try removing the assumption to be hereditary. However, it would…
math.AC2014
Endofunctors of singularity categories characterizing Gorenstein rings
Takuma Aihara, Ryo Takahashi
In this paper, we prove that certain contravariant endofunctors of singularity categories characterize Gorenstein rings.
math.RA2010★ 10 cited
Mutating Brauer trees
Takuma Aihara
In this paper we introduce mutation of Brauer trees. We show that our mutation of Brauer trees explicitly describes the tilting mutation of Brauer tree algebras introduced by Okuya…