Existentially closed Leibniz algebras and an embedding theorem-Reference-Cited by-同舟云学术

Existentially closed Leibniz algebras and an embedding theorem

Published:2021-06-01 Issue:2 Volume:29 Page:163-170
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Zargeh Chia¹²

Affiliation:

1. Departamento de Matemática , Universidade Federal da Bahia , Campus de Ondina, Av. Adhemar de Barros, S/N, Ondina - CEP: 40.170.110 , Salvador , BA , Brazil

2. Instituto de Matemática e Estatística , Universidade de São Paulo , Rua do Matão, 1010 – CEP 05508-090 São Paulo , Brazil

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0015

Reference12 articles.

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3. [3] G. Higman, B. H. Neumann, H. Neumann: Embedding theorems for groups. J. London. Math. Soc 24 (1949) 247–254.

4. [4] G. Higman, E. L. Scotty: Existentially closed groups. Clarendon Press (1988).

5. [5] P. S. Kolesnikov, L. G. Makar-Limanov, I. P. Shestakov: The Freiheitssatz for Generic Poisson Algebras. SIGMA 10 (2014) 115–130.

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