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Noetherian property of infinite EI categories

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arxiv 1407.8235 v3 pith:SB5NQBTB submitted 2014-07-30 math.RT math.ACmath.GRmath.GT

classification math.RTmath.ACmath.GRmath.GT
keywords infinitenoetherianabstractcategoriescategorycertaincharacteristiccombinatorial
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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.

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