论文标题
奇异的等价和澳大利亚 - 鲁iten猜想
Singular equivalences and Auslander-Reiten conjecture
论文作者
论文摘要
Auslander-Reiten猜想说，Artin代数没有任何在所有正度上具有消失的自我扩展的非凸位发电机，在某些由邻接对引起的奇异等效量中显示出不变的，这些对等对数通常发生在基质代数，回忆录，回忆录和R ring的反应中。因此，建立了几种还原方法来研究这种猜想。
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 invariant under certain singular equivalences induced by adjoint pairs, which occur often in matrix algebras, recollements and change of rings. Accordingly, several reduction methods are established to study this conjecture.
