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Let be the path algebra of a Dynkin quiver over a commutative noetherian ring . We show that any homotopically smashing t-structure in the derived category of is compactly generated. We also give a complete description of the compactly generated t-structures in terms of poset homomorphisms from the prime spectrum of the ring to the poset of filtrations of noncrossing partitions of the quiver . In the case that is regular, we also get a complete description of the wide subcategories of the category .

生成讲解博客的中文版本

生成AI智能校验的中文版本