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Algebra & Geometry Seminar

Speaker: Emine Yıldırım (The International Center for Mathematical Sciences (ICMS) - Sofia)

Title: Lattices from representation theory of algebras

Abstract: Torsion theories give rise to nice lattice structures in abelian categories. Pretorsion theories were recently introduced as a non-pointed analogue, allowing torsion-theoretic methods to be extended to broader categorical settings. In this talk, we investigate pretorsion classes in the module category of a finite-dimensional algebra and prove that they are naturally organized into a lattice under inclusion. We further analyze when this lattice is distributive and compare it with the classical lattice of torsion classes.This is joint work with Federico Campanini and Francesca Fedele.