8 citations · 21 across the 13 of their papers we have counts for
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math.RT2026
Mutations of simple-minded collections revisited
Sota Asai
Simple-minded collections in the bounded derived category are necessary tools in tilting theory of finite dimensional algebra…
math.RA2026
Left modularity and extremality for (some) infinite lattices
Sota Asai, Osamu Iyama, Kaveh Mousavand +1
For some important families of complete infinite lattices, we study some generalizations of two fundamental notions which are mostly treated for finite lattices. Specifically, for…
math.RT2026
The interval neighborhoods in the real Grothendieck groups
Sota Asai
For a finite dimensional algebra , the TF equivalence on the real Grothendieck group can be regarded as a completion of the -…
math.RT2026
Bicompact torsion classes and conjectures on brick infinite algebras
Sota Asai
In the category of finitely generated modules over a finite dimensional algebra , a torsion class $\mathcal{T} \subset \operatorname{\mathsf{mod}…