Tuesday, January 23, 14:00, 7.527
Apolonia Gottwald (Bielefeld / Bonn)
Preinjective Modules and Cofinite Submodule Closed Categories
I will introduce a method to construct all modules that contain a given
preinjective module as a submodule.
For hereditary Artin algebras over arbitrary fields, there is a natural
bijection between the Weyl groups and the sets of full additive cofinite
submodule closed subcategories of the module categories. While Oppermann,
Reiten and Thomas have shown this for algebraically closed fields and finite
fields, with the algorithm above, a proof is possible that holds
independently of the field.