Problems in Abstract Algebra

Problems in Abstract Algebra
ISBN-10
1470435837
ISBN-13
9781470435837
Category
Algebra, Abstract
Pages
277
Language
English
Published
2017-05-10
Publisher
American Mathematical Soc.
Author
A. R. Wadsworth

Description

This is a book of problems in abstract algebra for strong undergraduates or beginning graduate students. It can be used as a supplement to a course or for self-study. The book provides more variety and more challenging problems than are found in most algebra textbooks. It is intended for students wanting to enrich their learning of mathematics by tackling problems that take some thought and effort to solve. The book contains problems on groups (including the Sylow Theorems, solvable groups, presentation of groups by generators and relations, and structure and duality for finite abelian groups); rings (including basic ideal theory and factorization in integral domains and Gauss's Theorem); linear algebra (emphasizing linear transformations, including canonical forms); and fields (including Galois theory). Hints to many problems are also included.

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