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arXiv · 1509.04228

Noetherianity and rooted trees

Daniel Barter
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Abstract

Let T be the category whose objects are rooted trees and morphisms are order embeddings preserving the root. We prove that finitely generated representations of T are Noetherian using techniques developed by Sam and Snowden which generalize classical Grobner theory. The proof uses a relative version of Kruskals tree Theorem.

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Daniel Barter. 2015-09-14. Noetherianity and rooted trees. https://arxiv.org/abs/1509.04228

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