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arXiv · 2008.13494

Set-theoretic type solutions of the braid equation

Jorge A. Guccione·Juan J. Guccione·Christian Valqui
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Abstract

In this paper we begin the study of set-theoretic type solution of the braid equation. Our theory includes set-theoretical solutions as basic examples. We show that the relationships between set-theoretical solutions, q-cycle sets, q-braces, skew-braces, matched pairs of groups and invertible $1$-cocycles remain valid in our setting.

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BibTeXRIS

Jorge A. Guccione, Juan J. Guccione, Christian Valqui. 2020-08-31. Set-theoretic type solutions of the braid equation. https://doi.org/10.1016/j.jalgebra.2024.01.016

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