Some remarks on Mathieu subspaces over associative algebras

TL;DR

This paper extends previous results on Mathieu subspaces over associative algebras, introduces new findings, and examines the properties of strongly simple algebras in detail.

Contribution

It generalizes existing results on Mathieu subspaces and provides new insights into the structure of strongly simple algebras.

Findings

Extended the theory of Mathieu subspaces

Added new results on algebraic structures

Analyzed properties of strongly simple algebras

Abstract

In this paper, we generalize some of the results of [9], and add some new results. Furthermore, we take a closer look at strongly simple algebras, which are introduced in [9].