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Subspace categories as categories of good modules over quasi-hereditary algebras. (English) Zbl 0815.16005
Let \(({\mathcal K},|-|)\) be a finite directed vectorspace category. In the paper, an equivalence between the corresponding subspace category and the category of good modules over some quasi-hereditary algebra is given. As a consequence, the subspace category is determined by a (generalized) tilting/cotilting module, which is constructed explicitly. This generalizes a result by C. M. Ringel [Tame algebras and integral quadratic forms (Lect. Notes Math. 1099, 1984; Zbl 0546.16013)].

MSC:
16G20 Representations of quivers and partially ordered sets
16D90 Module categories in associative algebras
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[1] C. M. Ringel, The category of modules with a good filtration over a quasi-hereditary algebra has almost split sequences. Math. Z.208, 209-223 (1991). · Zbl 0725.16011
[2] C. M.Ringel, Tame algebras and integral quadratic forms. LNM1099, Berlin-Heidelberg-New York 1984.
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