The new "Bibles of Graduate Algebra." This text's organizing principle is the interplay between groups and rings, where “rings” includes the ideas of modules. It contains basic definitions, complete and clear proofs, and gives attention to the topics of algebraic geometry, Gröbner bases, homology, and representations. More than merely a succession of definition-theorem-proofs, this text puts results and ideas in context so that students can appreciate why a certain topic is being studied, and where definitions originate.