Higman-Neumann-Neumann extension and embedding theorems for Leibniz algebras

  1. Zargeh , Chia
Supervised by:
  1. Manuel Ladra González Director
  2. Mohammad Shahryari Director

Defence university: Universidade de Santiago de Compostela

Fecha de defensa: 29 June 2018

Committee:
  1. José Manuel Casas Mirás Chair
  2. Eduardo García Río Secretary
  3. Luisa María Camacho Santana Committee member
Department:
  1. Department of Mathematics

Type: Thesis

Abstract

The aim of the thesis is to study the algebraic structure of Leibniz algebras, namely: (1) Study the derivations and automorphisms of Leibniz algebras. (2) Study the concept of isoclinismo in Leibniz algebras. (3) Study the concept of HNN extension in Leibniz algebras. (4) Obtain an analogue Shirshov theorem for Leibniz algebras.The aim of the thesis is to study the algebraic structure of Leibniz algebras, namely: (1) Study the derivations and automorphisms of Leibniz algebras. (2) Study the concept of isoclinismo in Leibniz algebras. (3) Study the concept of HNN extension in Leibniz algebras. (4) Obtain an analogue Shirshov theorem for Leibniz algebras.