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Nathan Jacobson's
Basic Algebra II does not refer to basic, beginner algebra, but rather the first course one takes after linear algebra. This is volume 2;
Nathan Jacobson's Basic Algebra Iis sold separately. This dense text provides both instruction and practice in understanding concepts from categories, universal algebra, modules, basic structure theory of rings, classical representation theory of finite groups, elements of homological algebra with applications, commutative ideal theory and noetherian rings, field theory, valuation theory, Dedekind domains, and formally real fields. Carefully explained proofs are also included. 686 pages, indexed, softcover.
A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for more than three decades. Nathan Jacobson's books possess a conceptual and theoretical orientation; in addition to their value as classroom texts, they serve as valuable references.
Volume II comprises all of the subjects usually covered in a first-year graduate course in algebra. Topics include categories, universal algebra, modules, basic structure theory of rings, classical representation theory of finite groups, elements of homological algebra with applications, commutative ideal theory, and formally real fields. In addition to the immediate introduction and constant use of categories and functors, it revisits many topics from Volume I with greater depth and sophistication. Exercises appear throughout the text, along with insightful, carefully explained proofs.
