Linear Equation in Finite Dimensional Algebra

TL;DR

This paper explores methods for solving linear equations within finite-dimensional algebras over a field, focusing on equations of the form axb + cxd = e.

Contribution

It introduces specific solution techniques for linear equations in finite-dimensional algebras, expanding the understanding of algebraic equation solving.

Findings

Developed methods for solving equations of the form axb + cxd = e

Provided solutions applicable to finite-dimensional algebraic structures

Enhanced the theoretical framework for algebraic equation solving

Abstract

In the paper I considered methods for solving equations of the form axb+cxd=e in the algebra which is finite dimensional over the field.