论文标题

辫子方程的设置理论类型解决方案

Set-theoretic type solutions of the braid equation

论文作者

Guccione, Jorge A., Guccione, Juan J., Valqui, Christian

论文摘要

在本文中,我们开始研究编织方程的设定理论类型解决方案。我们的理论包括设定理论解决方案作为基本示例。我们表明,集合理论解决方案,Q-cycle集,Q插入,偏斜式套头,匹配的组和可演变$ 1 $ - cocycles之间的关系在我们的设置中仍然有效。

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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