# zbMATH — the first resource for mathematics

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
Full Text:
##### References:
 [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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.