Lorenzin, Antonio;
(2025)
Formality and strongly unique enhancements.
Journal of Algebra
, 667
pp. 690-724.
10.1016/j.jalgebra.2025.01.002.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Formality and strongly unique enhancements |
| DOI: | 10.1016/j.jalgebra.2025.01.002 |
| Publisher version: | https://doi.org/10.1016/j.jalgebra.2025.01.002 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Triangulated categories; algebraic triangulated categories; strongly unique enhancements; DG-categories; standard categories |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10206633 |
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