# Ternary mappings of triangular algebras

## TL;DR

This paper uses a categorical framework to analyze and classify ternary derivations and automorphisms of triangular algebras, introducing new classes and expanding understanding of their structure.

## Contribution

It introduces a categorical approach to describe ternary derivations and automorphisms, and presents new classes of these mappings for triangular algebras.

## Key findings

- Categorical description of ternary derivations and automorphisms.
- Introduction of new classes of automorphisms and derivations.
- Enhanced understanding of the structure of triangular algebras.

## Abstract

We take a categorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied.