Author	Cohn, P. M. author
Title	Further Algebra and Applications [electronic resource] / by P. M. Cohn
Imprint	London : Springer London : Imprint: Springer, 2003
Connect to	http://dx.doi.org/10.1007/978-1-4471-0039-3
Descript	XI, 451 p. online resource

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks

1. Universal algebra -- 2. Homological algebra -- 3. Further group theory -- 4. Algebras -- 5. Central simple algebras -- 6. Representation theory of finite groups -- 7. Noetherian rings and polynomial identities -- 8. Rings without finiteness assumptions -- 9. Skew fields -- 10. Coding theory -- 11. Languages and automata -- List of Notations -- Author Index

1. Mathematics
2. Algebra
3. Field theory (Physics)
4. Ordered algebraic structures
5. Applied mathematics
6. Engineering mathematics
7. Mathematics
8. Algebra
9. Field Theory and Polynomials
10. Order
11. Lattices
12. Ordered Algebraic Structures
13. Applications of Mathematics