Algebra

Start reading → Chapter IX

1. IXSesquilinear forms and quadratic forms
   1. Chapter IX
   2. § 1. Sesquilinear Forms45
   3. § 2. Discriminant of a sesquilinear form12
   4. § 3. Hermitian forms and quadratic forms7
   5. § 4. Totally isotropic subspaces. Witt's Theorem17
   6. § 5. Special Properties of Alternating Bilinear Forms11
   7. § 6. Special Properties of Hermitian Forms17
   8. § 7. Hermitian forms and ordered fields42
   9. § 8. Types of quadratic forms10
   10. § 9. Clifford Algebras24
   11. § 10. Angles31
   12. Historical note
2. XHomological algebra
   1. Chapter X
   2. § 1. Complements of linear algebra55
   3. § 2. Complexes of a-modules56
   4. § 3. Resolutions29
   5. § 4. Torsion product39
   6. § 5. Modules of extensions36
   7. § 6. Use of noncanonical resolutions30
   8. § 7. Composition product34
   9. § 8. Homological dimension34
   10. § 9. Koszul complexes35