92 天前 - … theory, and thus enables us to extract right exact sequences of Grothendieck groups
that we cannot obtain from the theory … tilting subcategory X of a triangulated category C …

105 天前 - … on the exact category setting here, let us assume (C, S ) is a skeletally small exact
category (… 6.5]) Let (C, S ) be a skeletally small exact category and T ⊆ C a d-cluster tilting …

181 天前 - … an extension-closed subcategory of eg an abelian category inherits an exact structure.
One … and hence an exact category. However, V is also an n-cluster tilting subcategory of …

246 天前 - … In exact categories, we obtain a reduction theorem for intervals of … If we consider
exact categories, then we obtain a reduction result for tilting subcategories. First recall the …

312 天前 - … if X is n-cluster tilting in an abelian category, then the index … That we can use the
right exact sequence in Proposition E … that index theory for triangulated categories should be …

322 天前 - … n-cluster tilting subcategory M of an abelian category A, has … M(−, −) as the basis of
our relative theory. This, in turn, … role of the short exact sequences in (1-)abelian categories. It …

335 天前 - … Afterwards, we discuss the relation between silting subcategories and tilting
subcategories in exact categories, which gives us a kind of important examples of our results. In …