TY - JOUR
T1 - Homological invariants of FI-modules and FIG-modules
AU - Ramos, Eric
N1 - Publisher Copyright:
© 2018 Elsevier Inc.
PY - 2018/5/15
Y1 - 2018/5/15
N2 - We explore a theory of depth for finitely presented FIG-modules. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.
AB - We explore a theory of depth for finitely presented FIG-modules. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.
KW - FI-modules
KW - Representation stability
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U2 - 10.1016/j.jalgebra.2017.12.037
DO - 10.1016/j.jalgebra.2017.12.037
M3 - Article
AN - SCOPUS:85044568286
SN - 0021-8693
VL - 502
SP - 163
EP - 195
JO - Journal of Algebra
JF - Journal of Algebra
ER -