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arXiv · 1712.01940

Solutions of the Braid Equation with set-type square

Jorge Alberto Guccione·Juan José Guccione·Christian Valqui
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Abstract

For a family of height one orders $(X,\le)$ and each non-degenerate solution $r_0\colon X\times X\longrightarrow X\times X$ 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 $(X,\le)$ that extend $r_0$.

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Jorge Alberto Guccione, Juan José Guccione, Christian Valqui. 2018-08-07. Solutions of the Braid Equation with set-type square. https://arxiv.org/abs/1712.01940

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