The Koszul dual of a weakly Koszul module
classification
🧮 math.RT
keywords
koszulmoduleweaklydualmodulesadjustedassociatedcharacterise
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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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