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Singular equivalences and Auslander-Reiten conjecture
Yiping Chen, Wei Hu, Yongyun Qin +1
Auslander-Reiten conjecture, which says that an Artin algebra does not have any non-projective generator with vanishing self-extensions in all positive degrees, is shown to be inva…
math.RT2020
Singular equivalences induced by bimodules and quadratic monomial algebras
Xiao-Wu Chen, Jian Liu, Ren Wang
We investigate the problem when the tensor functor by a bimodule yields a singular equivalence. It turns out that this problem is equivalent to the one when the Hom functor given b…