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Algebras and Representation Theory
Article . 2024 . Peer-reviewed
License: Springer Nature TDM
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Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2023
License: arXiv Non-Exclusive Distribution
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Hammocks for Non-Domestic String Algebras

Hammocks for non-domestic string algebras
Authors: Sinha, Vinit; Kuber, Amit; Sengupta, Annoy; Kale, Bhargav;

Hammocks for Non-Domestic String 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 $\mathbf 0$, $\mathbf 1$, and that is closed under isomorphisms, finite order sum, anti-lexicographic product with $ω$ and $ω^*$, 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 $\mathbb N$-strings in the completion of hammocks.

30 pages, 5 figures

Related Organizations
Keywords

hammock, Mathematics - Rings and Algebras, finite description linear order, 16G20, non-domestic, Rings and Algebras (math.RA), FOS: Mathematics, Representations of quivers and partially ordered sets, string algebra, Representation Theory (math.RT), Mathematics - Representation Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green