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math.RT2020
Periodic trivial extension algebras and fractionally Calabi-Yau algebras
Aaron Chan, Erik Darpö, Osamu Iyama +1
We study periodicity and twisted periodicity of the trivial extension algebra of a finite-dimensional algebra . Our main results show that (twisted) periodicity of …
math.RT2020
Distributive lattices and Auslander regular algebras
Osamu Iyama, Rene Marczinzik
Let denote a finite lattice with at least two points and let denote the incidence algebra of . We prove that is distributive if and only if is an Auslander regul…
math.RT2020
A bimodule approach to dominant dimension
Rene Marczinzik
We show that a finite dimensional algebra has dominant dimension at least if and only if the regular bimodule is -torsionfree if and only if $A \cong Ω^{n}(\t…