Algebra: Serge Lang
Part 1 The Basic Objects of Algebra
Chapter I Groups 3
Chapter II Rings 83
Chapter III Modules 117
Chapter IV Polynomials 173
Part 2 Algebraic Equations
Chapter V Algebraic Extensions 223
Chapter VI Galois Theory 261
Chapter VII Extensions of Rings 333
Chapter VIII Transcendental Extensions 355
Chapter IX Algebraic Spaces 377
Chapter X Noetherian Rings and Modules 413
Chapter XI Real Fields 449
Chapter XII Absolute Values 465
Part 3 Linear Algebra and Representations
Chapter XIII Matrices and Linear Maps 503
Chapter XIV Representation of One Endomorphism 553
Chapter XV Structure of Bilinear Forms 571
Chapter XVI The Tensor Product 601
Chapter XVII Semisimplicity 641
Chapter XVIII Representations of Finite Groups 663
Chapter XIX The Alternating Product 731
Part 4 Homological Algebra
Chapter XX General Homology Theory 761
Chapter XXI Finite Free Resolutions 835
Appendix 1 The Transcendence of e and [Pi] 867
Appendix 2 Some Set Theory 875
Bibliography 895