In any maximal finite semibrick for a finite dimensional algebra over an algebraically closed field, every brick is an open brick.
On thick subcategories of the category of projective presentations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study thick subcategories of the category of 2-term complexes of projective modules over an associative algebra. We show that those thick subcategories that have enough injectives are in explicit bijection with 2-term silting complexes and complete cotorsion pairs. We also provide a bijection with left finite wide subcategories of the module category and prove that all these maps are compatible with previously known correspondences. We discuss possible applications to stability conditions.
fields
math.RT 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Maximal finite semibricks consist only of open bricks
In any maximal finite semibrick for a finite dimensional algebra over an algebraically closed field, every brick is an open brick.