Noetherian property of infinite EI categories
Representation Theory
2015-06-04 v3 Commutative Algebra
Group Theory
Geometric Topology
Abstract
It is known that finitely generated FI-modules over a field of characteristic 0 are Noetherian. We generalize this result to the abstract setting of an infinite EI category satisfying certain combinatorial conditions.
Keywords
Cite
@article{arxiv.1407.8235,
title = {Noetherian property of infinite EI categories},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:1407.8235},
year = {2015}
}
Comments
Final version to appear in NYJM. Remark 3.5 and Example 3.12 Added