Finiteness of regularity of FI_d-moules

Wee Liang Gan UC Riverside Liping Li Hunan Normal Univ.

K-Theory and Homology Representation Theory Rings and Algebras mathscidoc:1705.20001

We prove by an inductive argument that any finitely generated FI^d -module over a commutative Noetherian ring has finite (Castelnuovo-Mumford) regularity. Our inductive argument is applicable also to the categories OI_d , FI^m , and OI_m.
Castelnuovo-Mumford regularity
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  title={Finiteness of regularity of FI_d-moules},
  author={Wee Liang Gan, and Liping Li},
Wee Liang Gan, and Liping Li. Finiteness of regularity of FI_d-moules.
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