# Derivation-invariant central factor

From Groupprops

This page describes a Lie subring property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: derivation-invariant Lie subring and central factor of a Lie ring

View other Lie subring property conjunctions | view all properties of subrings in Lie rings

ANALOGY: This is an analogue in Lie ring of a property encountered in group. Specifically, it is a Lie subring property analogous to the subgroup property: characteristic central factor

An alternative analogue of characteristic central factor in Lie ring is: characteristic central factor of a Lie ring

View other analogues of characteristic central factor | View other analogues in Lie rings of subgroup properties (OR, View as a tabulated list)

## Contents

## Definition

A subring of a Lie ring is termed a **derivation-invariant central factor** if it is both a derivation-invariant Lie subring and a central factor of the whole Lie ring.