@article{f70dbcea64964b87894ef85cba464645,
title = "HNN-extensions of Leibniz algebras",
abstract = "In this paper we construct HNN-extensions of diassociative algebras and Leibniz algebras and prove that every Leibniz algebra embeds into any of its HNN-extensions. We also prove that every Leibniz algebra with at most countable dimension embeds into a two-generator Leibniz algebra.",
keywords = "Composition lemma, Dialgebras, Gr{\"o}bner-Shirshov bases, HNN-extensions, Leibniz algebras",
author = "Manuel Ladra and Mohammad Shahryari and Chia Zargeh",
note = "Funding Information: The first and third authors were partially supported by Agencia Estatal de Investigaci{\'o}n (Spain), grant MTM2016-79661-P (European FEDER support included, UE). Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",
year = "2019",
month = aug,
day = "15",
doi = "10.1016/j.jalgebra.2019.05.014",
language = "English",
volume = "532",
pages = "183--200",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}