9 citations · 36 across the 47 of their papers we have counts for
Showing 2024Show all
3 papers · 1 filter
math.RT2024
Auslander-Reiten's Cohen-Macaulay algebras and contracted preprojective algebras
Aaron Chan, Osamu Iyama, Rene Marczinzik
Auslander and Reiten called a finite dimensional algebra over a field Cohen-Macaulay if there is an -bimodule which gives an equivalence between the category of finitely…
math.RT2024
Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras
Tiago Cruz, René Marczinzik
We generalise a theorem of Tachikawa about reflexive Auslander-Reiten sequences. We apply this to give a new characterisation of the dominant dimension of gendo-symmetric algebras.…
math.RT2024
Nakayama algebras of small homological dimension and pattern avoiding permutations
Viktória Klász, René Marczinzik, Judith Marquardt
We give a combinatorial classification of Nakayama algebras of small homological dimension using the Krattenthaler bijection between Dyck paths and 132-avoiding permutations.