Matlis duality
MATHEMATICAL THEOREM THAT, OVER A NOETHERIAN COMPLETE LOCAL RING, THE CATEGORIES OF NOETHERIAN AND ARTINIAN MODULES ARE ANTI-ISOMORPHIC
Matlis module; Macaulay duality
In algebra, Matlis duality is a duality between Artinian and Noetherian modules over a complete Noetherian local ring. In the special case when the local ring has a field mapping to the residue field it is closely related to earlier work by Francis Sowerby Macaulay on polynomial rings and is sometimes called Macaulay duality, and the general case was introduced by .