This is a self-contained text on abstract algebra for senior undergraduate and senior graduate students, which gives complete and comprehensive coverage of the topics usually taught at this level. The book is divided into five parts. The first part contains fundamental information such as an informal introduction to sets, number systems, matrices, and determinants. The second part deals with groups. The third part treats rings and modules. The fourth part is concerned with field theory. Much of the material in parts II, III, and IV forms the core syllabus of a course in abstract algebra. The fifth part goes on to treat some additional topics not usually taught at the undergraduate level, such as the Wedderburn-Artin theorem for semisimple artinian rings, Noether-Lasker theorem, the Smith-Normal form over a PID, finitely generated modules over a PID and their applications to rational and Jordan canonical forms and the tensor products of modules. Throughout, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. In addition, the book contains many examples fully worked out and a variety of problems for practice and challenge. Solution to the odd-numbered problems are provided at the end of the book to encourage the student in problem solving. This new edition contains an introduction to categories and functors, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Noether-Lasker theorem. In addition, there are over 150 new problems and examples.

Book Description

In addition to many new problems for practice and challenge, this edition of a self-contained graduate text on abstract algebra contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem.

"About this title" may belong to another edition of this title.

Store Description

Founded in 2017, Cycle Books began with a simple mission: to share the joy of reading by offering quality books to readers around the world. What started as a small passion project has grown into a trusted source for literature lovers, collectors, and curious minds alike. We specialize in a wide range of titles?from timeless classics and academic texts to rare finds and contemporary favorites. Every book we list is carefully selected and handled with care, because we believe every book has a story, and every reader deserves a great one. Customer satisfaction is at the heart of what we do. We take pride in fast shipping, accurate listings, and responsive service. Whether you're searching for a specific edition or just browsing for your next read, we're here to help you find something special. Thank you for visiting Cycle Books. We look forward to being part of your reading journey.

Visit Seller's Storefront

Seller's business information

Sale & Shipping Terms

Terms of Sale

Shipping Terms

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	3 to 14 business days	3 to 5 business days
First item	US$ 2.99	US$ 12.99

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.