$\sigma$-matching and interchangeable structures on null-filiform associative algebras

TL;DR

This paper introduces $\sigma$-matching and interchangeable structures on null-filiform associative algebras, providing new insights into compatible algebraic products and their properties.

Contribution

It characterizes $\sigma$-matching and interchangeable products, expanding the understanding of compatible structures in null-filiform associative algebras.

Findings

Defined $\sigma$-matching and interchangeable products.

Established total compatibility of these products.

Enhanced the structural theory of null-filiform associative algebras.

Abstract

We describe $\sigma$-matching, interchangeable and, as a consequence, totally compatible products on null-filiform associative algebras.