English

Noetherianity and rooted trees

Representation Theory 2015-09-15 v1 Combinatorics

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.

Keywords

Cite

@article{arxiv.1509.04228,
  title  = {Noetherianity and rooted trees},
  author = {Daniel Barter},
  journal= {arXiv preprint arXiv:1509.04228},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-22T10:56:23.716Z