The Concise Handbook of Algebra

Preface. A Semigroups. A.1. Ideals and Green's Relations; L.N. Shevrin. A.2. Bands of Semigroups; L.N. Shevrin. A.3. Free Semigroups; L.N. Shevrin. A.4. Presentations and Word Problems; P.M. Higgings, N. Ruskuc. A.5. Simple Semigroups; L.N. Shevrin. A.6. Epigroups; L.N. Shevrin. A.7. Periodic Semigroups; L.N. Shevrin. A.8. Finite Semigroups and Pseudovarieties; J. Almeida. A.9. Regular Semigroups; P.G. Trotter. A.10. Completely Regular Semigroups; J.M. Howie. A.11. Inverse Semigroups; P.G. Trotter. A.12. Separated Transformation Semigroups; K.D. Magill. A.13. Matrix Semigroups; J. Okninski. A.14. Subsemigroup Lattices; A.J. Ovsyannikóv, L.N. Shevrin. A.15. Varieties of Semigroups; L.N. Shevrin, M.V. Volkov. A.16. Compact Semigroups; K.H. Hofmann. A.17. Applications of Semigroups; G.F. Pilz, et al. B Groups. B.1. Abelian Groups; A.V. Mikhalev. B.2. p-Groups: Basics and the Coclass Project; C.R. Leedham-Green. B.3. p-Groups: Other Approaches; C.R. Leedham-Green. B.4. Soluble Groups; H. Lausch. B.5. Permutation Groups; P.J. Cameron. B.6. Lie Groups; J. Hilgert. B.7. Lie Groups and Differential Equations; P.J. Olver. B.8. Simple Groups; R. Solomin. B.9. Free and Relatively Free Groups; G.Baumslag. B.10. Free Products, Amalgamated Products, and HNN Extensions; G. Baumslag. B.11. Word Problems in Groups; D. Holt. B.12. Combinatorial Group Theory; G. Baumslag. B.13. The Burnside Problems; Rostislav, et al. B.14. Automatic and Hyperbolic Groups; D. Holt. B.15. Actions of Finite Groups; P. Paule. B.16. Wreath Products; J.D.P. Meldrum. B.17. Automorphism Groups of Algebraic Systems; B.I. Plotkin. B.18. Frobenius Groups; P. Fleischmann. B.19. Covered and Fibered Groups; C.J. Marson. B.20. Subgroup Lattices of Finite Abelian Groups; F. Vogt. B.21. Varieties of Groups; A.A. Iskander. B.22. Groups and Absolute Geometry; H. Karzel. B.23. Groups for Particle Physics; G. Kalmbrach. C Rings, Modules, Algebras. C.1. Commutative Algebra I: Ideal Decompositions; R. Gilmer. C.2. Commutative Algebra II: The Krull Dimension; R.Gilmer. C.3. Factorization and Decomposition of Polynomials; J. von zur Gathen. C.4. Element Factorization in Integral Domains; D.F. Anderson. C.5. Dedekind and Prüfer Domains; M. Fontana, I.J. Papick. C.6. Local Rings; T.Y. Lam. C.7. Semilocal Rings; T.Y. Lam. C.8. Cohen-Macaulay Rings; J. Herzog. C.9. Rings of Formal Power Series; A.A. Tuganbaev. C.10. Automorphisms of Polynomial Algebras and the Jacobian Conjecture; J.-T. Yu. C.11. R