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Characteristic tilting modules and Ringel duals

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Abstract

The characteristic tilting modules of quasi-hereditary algebras which are dual extensions of directed monomial algebras are explicitly constructed; and it is shown that the Ringel dual of the dual extension of an arbitrary hereditary algebra has triangular decomposition and bipartite quiver.

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  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Changchang Xi

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  1. Changchang Xi
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Correspondence to Changchang Xi.

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Xi, C. Characteristic tilting modules and Ringel duals. Sci. China Ser. A-Math. 43, 1121–1130 (2000). https://doi.org/10.1007/BF02872190

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