Finite-Dimensional Algebras

The theory of finite-dimensional algebras is one of the most fundamental domains of modern algebra. This book presents both the basic classical theory and more recent results closely related to current research (some category theory including Morita's theorem, schemes of quivers and tensor algebras, duality, quasi-Frobenius, hereditary and serial algebras). The only prior knowledge assumed of the reader is linear algebra and, in places, group theory. Each chapter includes a series of exercises, illustrating the content and introducing more refined results. For the more complicated problems, hints for the solution are given. Thus the book can be used as a textbook or for self-study.