On Leibniz algebras, whose subalgebras are either ideals or self-idealizing

TL;DR

This paper investigates the structure of Leibniz algebras where every subalgebra is either an ideal or self-idealizing, providing insights into their algebraic properties and classifications.

Contribution

It characterizes Leibniz algebras with subalgebras that are either ideals or self-idealizing, advancing understanding of their structural properties.

Findings

Classification of such Leibniz algebras

Conditions under which subalgebras are ideals or self-idealizing

Structural properties derived from subalgebra behavior

Abstract

A subalgebra S of a Leibniz algebra L is called self-idealizing in L if it coincides with its idealizer IL(S). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing.