Handbook of Algebra (eBook)

Front Cover 1
Handbook of Algebra 4
Copyright Page 5
Contents 18
Preface 6
Outline of the Series 10
List of Contributors 20
Section 2A: Category Theory 22
Chapter 1. Some aspects of categories in computer science 24
Chapter 2. Algebra, categories and databases 100
Section 2B: Homological Algebra. Cohomology. Cohomological Methods in Algebra. Homotopical Algebra 170
Chapter 3. Homology for the algebras of analysis 172
Section 2D: Model Theoretic Algebra 296
Chapter 4. Stable groups 298
Section 3A: Commutative Rings and Algebras 340
Chapter 5. Artin approximation 342
Section 3B: Associative Rings and Algebras 378
Chapter 6. Fixed rings and noncommutative invariant theory 380
Chapter 7. Modules with distributive submodule lattice 420
Chapter 8. Serial and semidistributive modules and rings 438
Chapter 9. Modules with the exchange property and exchange rings 460
Chapter 10. Separable algebras 482
Section 3D: Deformation Theory of Rings and Algebras 528
Chapter 11. Varieties of Lie algebra laws 530
Section 4D: Varieties of Algebras, Groups 564
Chapter 12. Varieties of algebras 566
Section 4E: Lie Algebras 598
Chapter 13. Infinite-dimensional Lie superalgebras 600
Chapter 14. Nilpotent and solvable Lie algebras 636
Section 5A: Groups and Semigroups 686
Chapter 15. Infinite Abelian groups: Methods and results 688
Section 6C: Representation Theory of 'Continuous Groups' (Linear Algebraic Groups, Lie Groups, Loop Groups . . . . ) and the Corresponding Algebras 726
Chapter 16. Infinite-dimensional representations of quantum algebras 728
Section 6E: Abstract and Functorial Representation Theory 758
Chapter 17. Burnside rings 760
Chapter 18. A guide to Mackey functors 826
Subject Index 858