1 citations · 1 across the 3 of their papers we have counts for
4 papers
Tilting theoretic approach to quasi-hereditary structures
Takahide Adachi, Aaron Chan, Yuta Kimura +1
A quasi-hereditary algebra is an algebra equipped with a certain partial order on its simple modules. Such a partial order -- called a quasi-hereditary structure -- gives…
Total preprojective algebras
Aaron Chan, Osamu Iyama, Rene Marczinzik
We introduce total preprojective algebras of path algebras of Dynkin quivers , and prove that they are isomorphic to -Auslander algebras of preprojective algebras of…
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…
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…