Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Rundsveen, Endre S."'
Autor:
Rundsveen, Endre S., Vaso, Laertis
Support $\tau$-tilting pairs, functorially finite torsion classes and $2$-term silting complexes are three much studied concepts in the representation theory of finite-dimensional algebras, which moreover turn out to be connected via work of Adachi,
Externí odkaz:
http://arxiv.org/abs/2410.19505
Autor:
Rundsveen, Endre S.
We show that torsion pairs in Krull--Schmidt abelian categories induce an equivalence between the subcategory of torsion-free objects admitting universal extensions to the torsion subcategory, and a quotient of the ext-orthogonal complement of the to
Externí odkaz:
http://arxiv.org/abs/2410.02322
We prove that any $\tau$-tilting finite incidence algebra of a finite poset is representation-finite, and that any $\mathbf{g}$-tame incidence algebra of a finite simply connected poset is tame. As the converse of these assertions are known to hold,
Externí odkaz:
http://arxiv.org/abs/2407.17965