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The Koszul dual of a weakly Koszul module

Dag Madsen
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Abstract

We study the so-called weakly Koszul modules and characterise their Koszul duals. We show that the (adjusted) associated graded module of a weakly Koszul module exactly determines the homology modules of the Koszul dual. We give an example of a quasi-Koszul module which is not weakly Koszul.

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Dag Madsen. 2007-02-02. The Koszul dual of a weakly Koszul module. https://arxiv.org/abs/math/0702054

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