On the Generalized Burnside Theorem
The Generalized Burnside Theorem, due to Laudal, generalizes the classical Burnside Theorem and is obtained using noncommutative deformations of the family of simple right $A$-modules when $A$ is a finite dimensional associative algebra over an algebraically closed field. In this paper, we prove a form of the Generalized Burnside Theorem that is more general, where we do not assume that $k$ is algebraically closed. The main purpose of the paper is to clarify and generalize the proof. As an application of the theorem, we introduce a standard form for finite dimensional algebras.