FIm-modules over Noetherian rings
Abstract
In this paper we study representation theory of the category FIm introduced by Gadish which is a product of copies of the category FI, and show that quite a few interesting representational and homological properties of FI can be generalized to FIm in a natural way. In particular, we prove the representation stability property of finitely generated FIm-modules over fields of characteristic 0.
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