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"Lang's Algebra changed the way graduate algebra is taught, retaining classical topics but introducing language and ways of thinking from category theory and homological algebra. It has affected all subsequent graduate-level algebra books." NOTICES OF THE AMS "The author has an impressive knack for presenting the important and interesting ideas of algebra in just the right way, and he never gets bogged down in the dry formalism which pervades some parts of algebra." MATHEMATICAL REVIEWS This book is intended as a basic text for a one-year course in algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text.

512 --- 512 Algebra --- Algebra --- Mathematics --- Mathematical analysis --- Algebra. --- Algèbre --- Commutative algebra. --- Commutative rings. --- Matrix theory. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Commutative Rings and Algebras. --- Linear and Multilinear Algebras, Matrix Theory. --- Associative Rings and Algebras. --- Group Theory and Generalizations. --- Groups, Theory of --- Substitutions (Mathematics) --- Algebraic rings --- Ring theory --- Algebraic fields --- Rings (Algebra)