While devoted to the combinatorial theory of polynomial algebras, free associative and free Lie algebras, and algebras with polynomial identities, this book also examines the structure of automorphism groups of free and relatively free algebras. It is based on graduate courses and short cycles of lectures presented by the author at several universities and aims to involve readers as soon as possible in the research area, making them able to read books and papers on the considered topics. It contains both classical and contemporary results and methods, and one specific feature of the book is that it includes more than 250 exercises and examples with detailed hints. Accessible for graduates and advanced undergraduates with a standard background on linear algebra and some elements of ring and group theory.
Vesselin Drensky