3 papers
math.RA2022
Operadic approach to HNN-extensions of Leibniz algebras
Georg Klein, Chia Zargeh
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…
math.RA2021
HNN-extension of involutive multiplicative Hom-Lie algebras
Sergei Silvestrov, Chia Zargeh
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 valid…
math.RA2020
Matching Hom-Setting of Rota-Baxter algebras, dendriform algebras and pre-Lie algebras
Dan Chen, Xiao-Song Peng, Chia Zargeh +1
In this paper, we introduce the Hom-algebra setting of the notions of matching Rota-Baxter algebras, matching (tri)dendriform algebras and matching (pre)Lie algebras. Moreover, we…