HNN-extensions of Leibniz algebras

Manuel Ladra*, Mohammad Shahryari, Chia Zargeh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)183-200
Number of pages18
JournalJournal of Algebra
Volume532
DOIs
Publication statusPublished - Aug 15 2019

Keywords

  • Composition lemma
  • Dialgebras
  • Gröbner-Shirshov bases
  • HNN-extensions
  • Leibniz algebras

ASJC Scopus subject areas

  • Algebra and Number Theory

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