General Heart Construction on a Triangulated Category (I): Unifying t-Structures and Cluster Tilting Subcategories

Author:

Nakaoka Hiroyuki

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science,Theoretical Computer Science,Algebra and Number Theory

Reference7 articles.

1. Beĭlinson, A.A., Bernstein, J., Deligne, P.: Faisceaux pervers (French) [Perverse sheaves] analysis and topology on singular spaces, I (Luminy, 1981), Astérisque. Soc. Math. France, Paris 100, 5–171 (1982)

2. Beligiannis, A., Reiten, I.: Homological and homotopical aspects of torsion theories (English summary). Mem. Am. Math. Soc. 188(883), viii+207 (2007)

3. Borceux, F.: Handbook of categorical algebra 1, basic category theory. In: Encyclopedia of Mathematics and its Applications, vol. 50, pp. xvi+345. Cambridge University Press, Cambridge (1994)

4. Buan, A.B., Marsh, R.J., Reiten, I.: Cluster-tilted algebras. Trans. Am. Math. Soc. 359(1), 323–332 (2007)

5. Iyama, O., Yoshino, Y.: Mutation in triangulated categories and rigid Cohen–Macaulay modules (English summary). Invent. Math 172(1), 117–168 (2008)

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