Tilting subcategories in extriangulated categories
نویسندگان
چکیده
منابع مشابه
Tilting in module categories
Let M be a module over an associative ring R and σ[M ] the category of M -subgenerated modules. Generalizing the notion of a projective generator in σ[M ], a module P ∈ σ[M ] is called tilting in σ[M ] if (i) P is projective in the category of P -generated modules, (ii) every P -generated module is P presented, and (iii) σ[P ] = σ[M ]. We call P self-tilting if it is tilting in σ[P ]. Examples ...
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We review the basic definitions of derived categories and derived functors. We illustrate them on simple but non trivial examples. Then we explain Happel’s theorem which states that each tilting triple yields an equivalence between derived categories. We establish its link with Rickard’s theorem which characterizes derived equivalent algebras. We then examine invariants under derived equivalenc...
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ژورنال
عنوان ژورنال: Frontiers of Mathematics in China
سال: 2020
ISSN: 1673-3452,1673-3576
DOI: 10.1007/s11464-020-0811-7