6 citations · 6 across the 6 of their papers we have counts for
7 papers
HNN-extension of Lie superalgebras
Manuel Ladra, Pilar Páez-Guillán, Chia Zargeh
We construct HNN-extensions of Lie superalgebras and prove that every Lie superalgebra embeds into any of its HNN-extensions. Then as an application we show that any Lie superalgeb…
An embedding theorem for Nijenhuis Lie algebras
Alireza Najafizadeh, Chia Zargeh
This paper introduces the Higman-Neumann-Neumann extension (HNN extension; for short) for Nijenhuis Lie algebras and provides an embedding theorem. To this end, we employ the theor…
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…
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…
Existentially closed Leibniz algebras and an embedding theorem
Chia Zargeh
In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.
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…
A Normal form for HNN-extension of Dialgebras
Chia Zargeh
We consider a new version of Composition-Diamond Lemma for dialgebras in order to obtain an explicit Groebner-Shirshov basis for HNN-extension of dialgebras and determine a normal…