281 citations · 527 across the 34 of their papers we have counts for
38 papers
Transitivity of mutation of -exceptional sequences in the -tilting finite case
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We prove that mutation of complete -exceptional sequences is transitive for -tilting finite algebras.
Mutating ordered -rigid modules with applications to Nakayama algebras
Aslak B. Buan, Maximilian Kaipel, Håvard U. Terland
A mutation operation for -exceptional sequences of modules over any finite-dimensional algebra was recently introduced, generalising the mutation for exceptional sequences of mo…
Mutation of τ-exceptional pairs and sequences
Aslak B. Buan, Eric J. Hanson, Bethany R. Marsh
We introduce a notion of mutation for -exceptional sequences of modules over arbitrary finite dimensional algebras. For hereditary algebras, we show that this coincides with the…
Mutating signed -exceptional sequences
Aslak Bakke Buan, Bethany Rose Marsh
We establish some properties of -exceptional sequences for finite-dimensional algebras. In an earlier paper we established a bijection between the set of ordered support -til…
Weak cotorsion, -tilting and two-term categories
Aslak Bakke Buan, Yu Zhou
Motivated by its links to -tilting theory, we introduce a generalization of cotorsion pairs in module categories. Such pairs are also linked to co-t-structures in corresponding…
-perpendicular wide subcategories
Aslak Bakke Buan, Eric J. Hanson
Let be a finite-dimensional algebra. A wide subcategory of is called left finite if the smallest torsion class containing it is functorially finite. In this pap…