HNN-extension of involutive multiplicative Hom-Lie algebras

Abstract

The construction of HNN-extensions of involutive Hom-associative algebras and involutive Hom-Lie algebras is described. Then, as an application of HNN-extension, by using the validity of Poincar\'e-Birkhoff-Witt theorem for involutive Hom-Lie algebras, we provide an embedding theorem.

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