A Gentle Introduction to Abstract Algebra

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Author(s): B. A. Sethuraman
Publisher: California State University

Language: English
City: Northridge

To the Student: How to Read a Mathematics Book
To the Student: Proofs
Divisibility in the Integers
Further Exercises
Rings and Fields
Rings: Definition and Examples
Subrings
Integral Domains and Fields
Ideals
Quotient Rings
Ring Homomorphisms and Isomorphisms
Further Exercises
Vector Spaces
Vector Spaces: Definition and Examples
Linear Independence, Bases, Dimension
Subspaces and Quotient Spaces
Vector Space Homomorphisms: Linear Transformations
Further Exercises
Groups
Groups: Definition and Examples
Subgroups, Cosets, Lagrange's Theorem
Normal Subgroups, Quotient Groups
Group Homomorphisms and Isomorphisms
Further Exercises
Sets, Functions, and Relations
Partially Ordered Sets, Zorn's Lemma
GNU Free Documentation License
Index