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math.RT2026
A Proof of the Second brick-Brauer-Thrall Conjecture for -infinite algebras
Kaveh Mousavand, Charles Paquette
For any finite-dimensional algebra over an algebraically closed field, we prove that if is -infinite, then the Second brick-Brauer-Thrall Conjecture holds for . In fa…
math.RT2026
Brick infinite algebras admit infinitely many non--rigid bricks
Kaveh Mousavand, Charles Paquette
For finite dimensional algebras over algebraically closed fields, we settle a question previously known only for certain families of algebras. More specifically, motivated by some…
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…