加瀬 遼一（奈良女子大学）「Taking tilting modules from the poset of support tilting modules」
C. Ingalls and H. Thomas defined support tilting modules for path algebras. From \tau-tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of basic tilting modules defined by D. Happel and L. Unger is extended as a partial order on the set of support tilting modules.
In this talk, we will show that the subposet of tilting modules is determined by the poset structure of the set of support tilting modules.