Geodesic
A note on thick subcategories and wide subcategories
Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 131-139.

Voir la notice de l'article provenant de la source International Press of Boston

For a triangulated category with a bounded t-structure, we prove that there is a bijection between wide subcategories of its heart and thick subcategories of the triangulated category which are closed under the corresponding cohomological functor. We prove that a finite-dimensional triangular algebra over an algebraically closed field is hereditary if and only if any thick subcategory of the bounded derived category is closed under the usual cohomological functor.
DOI : 10.4310/HHA.2017.v19.n2.a8
Classification : 16E05, 16G20, 18E30
Keywords: wide subcategory, lattice isomorphism, hereditary algebra 
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Chao Zhang; Hongyan Cai. A note on thick subcategories and wide subcategories. Homology, homotopy, and applications, Tome 19 (2017) no. 2, pp. 131-139. doi : 10.4310/HHA.2017.v19.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n2.a8/

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