Preface to the second edition
Published online by Cambridge University Press: 05 June 2012
Summary
The following are the main features of the second edition.
More than 150 new problems and examples have been added. The new problems include several that relate abstract concepts to concrete situations. Among others, we present applications of G-sets, the division algorithm and greatest common divisors in a given euclidean domain. In particular, we should mention the combinatorial applications of the Burnside theorem to reallife problems. A proof for the constructibility of a regular n-gon has been included in Chapter 18.
We have included a recent elegant and elementary proof, due to Osofsky, of the celebrated Noether-Lasker theorem.
Chapter 22 on tensor products with an introduction to categories and functors is a new addition to Part IV. This chapter provides basic results on tensor products that are useful and important in present-day mathematics.
We are pleased to thank all of the professors and students in the many universities who used this textbook during the past seven years and contributed their useful feedback. In particular, we would like to thank Sergio R. Lopez-Permouth for his help during the time when the revised edition was being prepared. Finally, we would like to acknowledge the staff of Cambridge University Press for their help in bringing out this second edition so efficiently.
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- Information
- Basic Abstract Algebra , pp. xiiiPublisher: Cambridge University PressPrint publication year: 1994