A note on abelian quotient categories

Journal of Algebra - Tập 551 - Trang 1-8 - 2020
Panyue Zhou1
1College of Mathematics, Hunan Institute of Science and Technology, 414006, Yueyang, Hunan, People's Republic of China

Tài liệu tham khảo

Auslander, 1991, Applications of contravariantly finite subcategories, Adv. Math., 86, 111, 10.1016/0001-8708(91)90037-8 Beligiannis, 2013, Rigid objects, triangulated subfactors and Abelian localizations, Math. Z., 274, 841, 10.1007/s00209-012-1099-4 Bondal, 1990, Representable functors, Serre functors, and mutations, Math. USSR, Izv., 35, 519, 10.1070/IM1990v035n03ABEH000716 Beligiannis, 1994, Left triangulated categories arising from contravariantly finite subcategories, Commun. Algebra, 22, 5021, 10.1080/00927879408825119 Happel, 1988, Triangulated Categories in the Representation Theory of Finite-Dimensional Algebras, vol. 119 Iyama, 2007, Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories, Adv. Math., 210, 22, 10.1016/j.aim.2006.06.002 Jørgensen, 2010, Quotients of cluster categories, Proc. R. Soc. Edinb. A, 140, 65, 10.1017/S0308210508000425 Koenig, 2008, From triangulated categories to Abelian categories: cluster tilting in a general framework, Math. Z., 258, 143, 10.1007/s00209-007-0165-9 Neeman, 2001 Reiten, 2002, Noetherian hereditary Abelian categories satisfying Serre duality, J. Am. Math. Soc., 15, 295, 10.1090/S0894-0347-02-00387-9