This work deals with basic types of rings, such as simple rings, prime and semiprime
rings, etc. Along the way, the results are being adjusted to hold also for algebras,
since the main goal of the thesis is to prove Wedderburn’s structure theorem for
finite dimensional algebras. The concept of a module is emphasised in the text. It
is often used when proving some of the important results, and, moreover it plays
a key role in introducing the notion of a primitive ring. The latter is used in the
formulation of Jacobson Density Theorem, which provides the neccessary tool to
prove Wedderburn’s structure theorem.