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 , , and that is closed under isomorphisms, finite order sum, anti-lexicographic product with and , 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 -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