58 research outputs found
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 paper, we study a combinatorial relationship between the poset of basic
tilting modules and basic support tilting modules. We will show that the
subposet of tilting modules is uniquely determined by the poset structure of
the set of support tilting modules.Comment: 11 page
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