9 citations · 36 across the 47 of their papers we have counts for
5 papers · 1 filter
Homological dimensions of the Jacobson radical
Xiao-Wu Chen, Srikanth B. Iyengar, René Marczinzik
This work presents results on the finiteness, and on the symmetry properties, of various homological dimensions associated to the Jacobson radical and its higher syzygies, of a sem…
Dominant Auslander-Gorenstein algebras and mixed cluster tilting
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce the class of dominant Auslander-Gorenstein algebras as a generalisation of higher Auslander algebras and minimal Auslander-Gorenstein algebras, and give their basic pr…
On total stability conditions for Dynkin quivers
Rene Marczinzik
We show that for a Dynkin quiver of type with a specific orientation, the path algebra has no slope function of the form that defines a total stabil…
Homological algebra of Nakayama algebras and 321-avoiding permutations
Eirini Chavli, Rene Marczinzik
Linear Nakayama algebras over a field are in natural bijection to Dyck paths and Dyck paths are in natural bijection to 321-avoiding bijections via the Billey-Jockusch-Stanley…
On the interaction of the Coxeter transformation and the rowmotion bijection
René Marczinzik, Hugh Thomas, Emine Yıldırım
Let be a finite poset and the associated distributive lattice of order ideals of . Let denote the rowmotion bijection of the order ideals of viewed as a permutat…