Solutions of the Braid Equation with set-type square

2017/12/05 by Jorge A. Guccione, Jorge Alberto Guccione, Juan J. Guccione +5
Computer Science · Mathematics · Physics and Astronomy · #16T25 #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Quantum Algebra (math.QA) #math.QA #msc:16T25

paper · pdf · doi:10.48550/arxiv.1712.01940

19 pages, 1 table

openalex publication_date 2017/12/05 · arxiv created 2018/08/07 · arxiv updated 2018/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a family of height one orders (X,≤) and each non-degenerate solution r₀\colon X× X\longrightarrow X× X of the set-theoretic braid equation on X satisfying suitable conditions, we obtain all the non-degenerate solutions of the braid equation on the incidence coalgebra of (X,≤) that extend r₀.

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