English

Hammocks for non-domestic string algebras

Representation Theory 2023-01-18 v1 Rings and Algebras

Abstract

We show that the order type of the simplest version of a hammock for string algebras lies in the class of finite description linear orders--the smallest class of linear orders containing 0\mathbf 0, 1\mathbf 1, and that is closed under isomorphisms, finite order sum, anti-lexicographic product with ω\omega and ω\omega^*, and shuffle of finite subsets--using condensation (localization) of linear orders as a tool. We also introduce two finite subsets of the set of bands and use them to describe the location of left N\mathbb N-strings in the completion of hammocks.

Keywords

Cite

@article{arxiv.2301.05956,
  title  = {Hammocks for non-domestic string algebras},
  author = {Vinit Sinha and Amit Kuber and Annoy Sengupta and Bhargav Kale},
  journal= {arXiv preprint arXiv:2301.05956},
  year   = {2023}
}

Comments

30 pages, 5 figures

R2 v1 2026-06-28T08:11:46.495Z