论文标题
形式和强烈独特的增强
Formality and strongly unique enhancements
论文作者
论文摘要
受到渐变代数的内在形式的启发，我们证明了DG增强的唯一性是必要且充分的条件。这种方法在任何交换环上都对线性性提供了概括。特别是，我们获得了一些具有强烈独特的DG增强的三角类别的新示例。此外，我们还表明，确切类别的有限派生类别具有独特的增强。
Inspired by the intrinsic formality of graded algebras, we prove a necessary and sufficient condition for strongly uniqueness of DG-enhancements. This approach offers a generalization to linearity over any commutative ring. In particular, we obtain several new examples of triangulated categories with a strongly unique DG-enhancement. Moreover, we also show that the bounded derived category of an exact category has a unique enhancement.
