Source: wikibot/dualizing-module
= Dualizing module
{wiki=Dualizing_module}
In the context of commutative algebra and algebraic geometry, the dualizing module is an important concept that arises in the study of schemes and their cohomological properties. \#\#\# Definition Given a Noetherian ring \\( R \\), the dualizing module is an \\( R \\)-module \\( \\mathcal\{D\} \\) that serves as a kind of "dual" object to the module of differentials.