Operadic approach to HNN-extensions of Leibniz algebras
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KLEIN, Georg, ZARGEH, Chia. Operadic approach to HNN-extensions of Leibniz algebras. In: Quasigroups and Related Systems, 2022, vol. 30, nr. 1(47), pp. 101-114. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v30.08
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Quasigroups and Related Systems
Volumul 30, Numărul 1(47) / 2022 / ISSN 1561-2848

Operadic approach to HNN-extensions of Leibniz algebras

DOI:https://doi.org/10.56415/qrs.v30.08
CZU: 512.55

Pag. 101-114

Klein Georg1, Zargeh Chia2
 
1 Universidade Federal da Bahia,
2 Modern College of Business and Science
 
 
Disponibil în IBN: 30 mai 2022


Rezumat

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 Gröbner-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 HNNextension.