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About this book :-
Abstract Algebra Manual Problems and Solutions (2E) written by
Ayman Badawi .
This book is obtain a solid understanding of the basic concepts of abstract algebra through doing problems, the best way to understand this challenging subject. Mostly students who memorize a theorem without the ability to apply that theorem to a given problem. This book provide students with an array of the most typical problems in basic abstract algebra.
Book Detail :-
Title: Abstract Algebra Manual Problems and Solutions
Edition: Second Edition
Author(s): Ayman Badawi
Publisher:
Series:
Year:
Pages: 84
Type: PDF
Language: Englsih
ISBN:
Country:
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Book Contents :-
Abstract Algebra Manual Problems and Solutions (2E) written by
Ayman Badawi
cover the following topics.
1. Tools and Major Results of Groups
Notations, Results
2. Problems in Group Theory
Elementary Properties of Groups, Subgroups, Cyclic Groups, Permutation Groups, Cosets and Lagrange’s Theorem, Normal Subgroups and Factor Groups, Group Homomorphisms and Direct Product, Sylow Theorems, Simple Groups, Classification of Finite Abelian Groups, General Questions on Groups
3. Tools and Major Results of Ring Theory
Notations, Major Results of Ring Theory
4. Problems in Ring Theory
Basic Properties of Rings, Ideals, Subrings, and Factor Rings, Integral Domains, and Zero Divisors, Ring Homomorphisms and Ideals, Polynomial Rings, Factorization in Polynomial Rings, Unique Factorization Domains, Gaussian Ring : Z[i], Extension Fields, and Algebraic Fields, Finite Fields, Galois Fields and Cyclotomic Fields, General Questions on Rings and Fields
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