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Presented By: Learning Seminar in Algebraic Combinatorics - Department of Mathematics

Learning seminar in algebraic combinatorics: Bricks and the Lattice of Torsion Classes

Mia Smith

Last week, Yucong introduced the lattice of torsion classes. This coming week, we'll examine several properties of the lattice of torsion classes. We'll characterize the completely join irreducible elements and, time permitting, prove that the lattice of torsion classes is completely semi-distributive. Underlying both of these properties are "bricks", a special kind of indecomposable module.

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