# Left-transitively normal subloop

From Groupprops

This article defines a property that can be evaluated for a subloop of a loop| View other such properties

ANALOGY: This is an analogue in algebra loop of a property encountered in group. Specifically, it is a subloop property analogous to the subgroup property: characteristic subgroup

View other analogues of characteristic subgroup | View other analogues in algebra loops of subgroup properties (OR, View as a tabulated list)

## Definition

A subloop of an algebra loop is termed a **left-transitively normal subloop** if, for any algebra loop containing as a normal subloop, is also a normal subloop of .