Sets, functions, and integers Groups Rings Universal constructions Modules Vector spaces Matrices Special fields Determinants and tensor products Bilinear and quadratic forms Similar matrices and finite abelian groups Structure of groups Galois theory Lattices Categories and adjoint functors Multilinear algebra Appendix: Affine and projective spaces Bibliography Index
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"Nearly every ten years there seems to arrive a new edition of this now classical book the review of which the reviewer hardly can improve. The main advantage of the authors had been the introduction of thoroughly categorical concepts into algebra." - Zentralblatt MATH "The book is clearly written, beautifully organized, and has an excellent and wide-ranging supply of exercises ... contains ample material for a full-year course on modern algebra at the undergraduate level." - Mathematical Reviews