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https://dx.doi.org/10.48550/ar...
Article . 2024
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Operad of posets 101: The Wixarika posets

Authors: Arciniega-Nevárez, José Antonio; Berghoff, Marko; Dolores-Cuenca, Eric Rubiel;

Operad of posets 101: The Wixarika posets

Abstract

We study objects whose definition is linked to partial orders. An algebra over the operad of posets is a set whose endomorphisms contain the endomorphisms of posets. Notable examples of such algebras include the zeta values, order polytopes, and shuffle series. The language of operads provides us with tools to better understand the combinatorics of these objects. In these notes we describe a non-trivial example of a suboperad ``The Wixarika posets'', alongside its associated algebras. This example is rich enough to showcase the particularities of the field, without delving into technicalities. An old version of these notes were used to give a minicourse in Govt. College University Lahore in Pakistan 2022, and at the BIRS-CMO workshop ``6th meeting of the Mexican Mathematicians in the World'' 2024.

10 pages, used to give a minicourse in Govt. College University Lahore in Pakistan 2022, and at the BIRS-CMO workshop "6th meeting of the Mexican Mathematicians in the World'' 2024

Keywords

18M80, 06A07, 00-01, 05A15, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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citations
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!
0
Average
Average
Average
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