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arXiv · 2203.05776

Operadic approach to HNN-extensions of Leibniz algebras

Georg Klein·Chia Zargeh
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Abstract

We construct HNN-extensions of Lie di-algebras in the variety of di-algebras and provide a presentation for the replicated HNN-extension of a Lie di-algebras. Then, by applying the method of Gr\"obner-Shirshov bases for replicated algebras, we obtain a linear basis. As an application of HNN-extensions, we prove that Lie di-algebras are embedded in their HNN-extension.

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Georg Klein, Chia Zargeh. 2022-03-11. Operadic approach to HNN-extensions of Leibniz algebras. https://arxiv.org/abs/2203.05776

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