8 citations · 21 across the 13 of their papers we have counts for
Showing 2025Show all
2 papers · 1 filter
math.RT2025
Brick-splitting Torsion Pairs and Left Modularity
Sota Asai, Osamu Iyama, Kaveh Mousavand +1
We introduce the notion of brick-splitting torsion pairs as a modern analogue and generalization of the classical notion of splitting torsion pairs. A torsion pair is called brick-…
math.RT2025
Maximal finite semibricks consist only of open bricks
Sota Asai
A semibrick is a set of modules satisfying Schur's Lemma, and it is said to be maximal if it is not properly contained in another semibrick. For any finite dimensional algebra $\va…