Subquandles of free quandles
Sergei O. Ivanov, Georgii Kadantsev, Kirill Kuznetsov
TL;DR
This paper proves that any subquandle of a free quandle inherits the property of being free, extending the understanding of the algebraic structure of quandles.
Contribution
It establishes that subquandles of free quandles are themselves free, a significant structural property in quandle theory.
Findings
Subquandles of free quandles are free.
Provides a foundational result in quandle algebra.
Enhances understanding of free algebraic structures.
Abstract
We prove that a subquandle of a free quandle is free.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Mathematical Dynamics and Fractals · Computability, Logic, AI Algorithms