论文标题
关于有限张量类别之间的稳定等价
On the stable equivalences between finite tensor categories
论文作者
论文摘要
我们旨在研究张量三角类别的莫里塔理论。对于两个没有投影简单对象的有限张量类别，我们证明它们由精确的$ \ bbbk $ -linear monoidal functor引起的稳定等价物可以在某些某些条件下抬高到张量当量。
We aim to study Morita theory for tensor triangulated categories. For two finite tensor categories having no projective simple objects, we prove that their stable equivalence induced by an exact $\Bbbk$-linear monoidal functor can be lifted to a tensor equivalence under some certain conditions.
