242 citations · 546 across the 54 of their papers we have counts for
71 papers
A geometric realization of socle-projective categories for posets of type
Gabriel Bravo Rios, Ralf Schiffler, Robinson-Julian Serna
We introduce posets of type , a family of posets described by an admissible Dynkin quiver of type together with a compatible set of extra arrows (alien arrows), a…
On syzygy categories over Iwanaga-Gorenstein algebras: Reduction, minimality and finiteness
Ralf Schiffler, Khrystyna Serhiyenko
We study 2-Calabi-Yau tilted algebras which are non-commutative Iwanaga-Gorenstein algebras of Gorenstein dimension 1. In particular, we are interested in their syzygy categories o…
An exact structure approach to almost rigid modules over quivers of type
Thomas Brüstle, Eric J. Hanson, Sunny Roy +1
Let be the path algebra of a quiver of Dynkin type . The module category has a combinatorial model as the category of diagonals in a polygon w…
Knot theory and cluster algebra III: Posets
Véronique Bazier-Matte, Ralf Schiffler
In previous work, we associated a module to every segment of a link diagram and showed that there is a poset isomorphism between the submodules of and the Kau…
Maximal almost rigid modules over gentle algebras
Emily Barnard, Raquel Coelho Simoes, Emily Gunawan +1
We study maximal almost rigid modules over a gentle algebra . We prove that the number of indecomposable direct summands of every maximal almost rigid -module is equal to the…
Knot theory and cluster algebras II: The knot cluster
Véronique Bazier-Matte, Ralf Schiffler
To every knot (or link) diagram K, we associate a cluster algebra A that contains a cluster x with the property that every cluster variable in x specializes to the Alexander polyno…