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An Introduction to Abstract Algebra - F. M. Hall

An Introduction to Abstract Algebra

Paperback Published: 14th April 1980
ISBN: 9780521298629
Number Of Pages: 404

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The second volume continues the course of study started in Volume 1, but may be used independently by those already possessing an elementary knowledge of the subject. A summary of basic group theory is followed by accounts of group homomorphisms, rings, fields and integral domains. The related concepts of an invariant subgroup and an ideal in a ring are brought in and the reader introduced to vector spaces and Boolean algebra. The theorems behind the abstract work and the reasons for their importance are discussed in greater detail than is usual at this level. The book is intended both for those who, educated in traditional mathematics, wish to know something about modern algebra and also for those already familiar with the elements of the subject who wish to study further. Fresh ideas and structures are introduced gradually and in a simpler manner, with concrete examples and much more informal discussion. There are many graded exercises, including some worked examples. This book is thus suitable both for the student working by himself without the aid of the teacher and for those taking formal courses in universities or colleges of education.

Preface
Groups
Homomorphisms of groups
Rings
Fields
Integral domains
Invariant subgroups
Ideals
Extensions of structures
Vector spaces
Geometrical
Boolean algebra
Further results
Answers to exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521298629
ISBN-10: 0521298628
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 404
Published: 14th April 1980
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 2.29
Weight (kg): 0.51
Edition Number: 2

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