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Communications in Algebra Volume 51, 2023 - Issue 11
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Research Article

The ST correspondence for proper non-positive dg algebras

Houjun ZhangSchool of Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. ChinaCorrespondence[email protected]
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Pages 4815-4820 | Received 02 Sep 2021, Accepted 19 May 2023, Published online: 04 Jun 2023

References

  • Adachi, T., Mizuno, Y., Yang, D. (2019). Discreteness of silting objects and t-structures in triangulated categories. Proc. London Math. Soc. (3) 118(1):1–42. DOI: 10.1112/plms.12176.
  • Aihara, T., Iyama, O. (2012). Silting mutation in triangulated categories. J. London. Math. Soc. (2) 85(3):633–668. DOI: 10.1112/jlms/jdr055.
  • Al-Nofayee, S. (2009). Simple objects in the heart of a t-structure. J. Pure Appl. Algebra 213(1):54–59. DOI: 10.1016/j.jpaa.2008.05.014.
  • Brüstle, T., Yang, D. (2013). Ordered exchange graphs. Advances in Representation Theory of Algebras, EMS Ser. Congr. Rep., pp. 135–193.
  • Buan, A. B., Reiten, I., Thomas, H. (2012). From m-clusters to m-noncrossing partitions via exceptional sequences. Math. Z. 271(3–4):1117–1139. DOI: 10.1007/s00209-011-0906-7.
  • Kalck, M., Yang, D. (2018). Relative singularity categories II: Dg models, arXiv:1803.08192.
  • Keller, B. (1994). Deriving DG categories. Ann. Sci. École Norm. Sup. (4) 27(1):63–102. DOI: 10.24033/asens.1689.
  • Keller, B., On differential graded categories, International Congress of Mathematicians. Vol. II, Eur. Math. Soc., Zürich, 2006, pp. 151–190.
  • Keller, B., Nicolás, P. (2013). Weight structures and simple dg modules for positive dg algebras. Int. Math. Res. Not. 5:1028–1078. DOI: 10.1093/imrn/rns009.
  • Keller, B., Nicolás, P. Cluster hearts and cluster tilting objects, in preparation.
  • Keller, B., Vossieck, D. (1988). Aisles in derived categories. Bull. Soc. Math. Belg. Sér. A 40(2):239–253.
  • Koenig, S., Yang, D. (2014). Silting objects, simple-minded collections, t-structures and co-t-structures for finite-dimensional algebras. Doc. Math. 19:403–438. DOI: 10.4171/dm/451.
  • Rickard, J. (2002). Equivalences of derived categories for symmetric algebras. J. Algebra 257(2):460–481. DOI: 10.1016/S0021-8693(02)00520-3.
  • Rickard, J., Rouquier, R. (2017). Stable categories and reconstruction. J. Algebra 475:287–307. DOI: 10.1016/j.jalgebra.2016.05.018.
  • Schnürer, O. M. (2013). Simple-minded subcategories and t-structures, preprint.
  • Su, H., Yang, D. (2019). From simple-minded collections to silting objects via Koszul duality. Algebras Represent. Theory 22(1):219–238. DOI: 10.1007/s10468-018-9763-y.

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