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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@inproceedings{weefiniteness,
  title={Finiteness of regularity of FI_d-moules},
  author={Wee Liang Gan, and Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170502155222699713750},
}
Wee Liang Gan, and Liping Li. Finiteness of regularity of FI_d-moules. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170502155222699713750.
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