Introductory Course in Commutative Algebra

Name: Introductory Course in Commutative Algebra
Price: 23.69 USD
Availability: InStock
ISBN: 9780198501442

ISBN-10: 0198501447

ISBN-13: 9780198501442

Edition: 1998

Authors: A. W. Chatters, C. R. Hajarnavis

List price: $58.00

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This book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite fields. The material covered in this book prepares the way for the further study of abstract algebra, but it could also form the basis of an entire course.

Book details

List price: $58.00
Copyright year: 1998
Publisher: Oxford University Press, Incorporated
Publication date: 7/16/1998
Binding: Paperback
Pages: 152
Size: 6.14" wide x 9.21" long x 0.35" tall
Weight: 0.572
Language: English




Rings



Euclidean rings



Highest common factor



The four-squares theorem



Fields and polynomials



Unique factorization domains



Field of quotients of an integral domain



Factorization of polynomials



Fields and field extensions



Finite cyclic groups and finite fields



Algebraic numbers



Ruler and Compass constructions



Homomorphisms, ideals and factor rings



Principal ideal domains and a method for constructing fields



Finite fields


Solutions to selected exercises


References