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Abstract Algebra by Romyar Sharif

Abstract Algebra by Romyar Sharif

Abstract Algebra by Romyar Sharif

This note covers the following topics: Set theory, Group theory, Ring theory, Isomorphism theorems, Burnsides formula, Field theory and Galois theory, Module theory, Commutative algebra, Linear algebra via module theory, Homological algebra, Representation theory.

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s328 Pages
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Abstract Algebra by Romyar Sharif

Abstract Algebra by Romyar Sharif

This note covers the following topics: Set theory, Group theory, Ring theory, Isomorphism theorems, Burnsides formula, Field theory and Galois theory, Module theory, Commutative algebra, Linear algebra via module theory, Homological algebra, Representation theory.

s328 Pages
Lecture Notes for Abstract Algebra I

Lecture Notes for Abstract Algebra I

This note covers the following topics: Group Theory, classification of cyclic subgroups, cyclic groups, Structure of Groups, orbit stabilizer theorem and conjugacy, Rings and Fields, homomorphism and isomorphism, ring homomorphism, polynomials in an indeterminant.

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Abstract Algebra Theory and Applications

Abstract Algebra Theory and Applications

This text is intended for a one- or two-semester undergraduate course in abstract algebra. Topics covered includes: The Integers, Groups, Cyclic Groups, Permutation Groups, Cosets and Lagrange’s Theorem, Algebraic Coding Theory, Isomorphisms, Normal Subgroups and Factor Groups, Matrix Groups and Symmetry, The Sylow Theorems , Rings, Polynomials, Integral Domains, Vector Spaces, Finite Fields.

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Notes on Abstract Algebra

Notes on Abstract Algebra

This book covers the following topics: Group Theory, Basic Properties of Groups, Ring Theory, Set Theory, Lagrange's Theorem, The Symmetric Group Redux, Kernels of Homomorphisms and Quotient Groups and Normal Subgroups.

s151 Pages
Abstract Algebra Lecture Notes

Abstract Algebra Lecture Notes

This book explains the following topics: Group Theory, Subgroups, Cyclic Groups, Cosets and Lagrange's Theorem, Simple Groups, Solvable Groups, Rings and Polynomials, Galois Theory, The Galois Group of a Field Extension, Quartic Polynomials.

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A Gentle Introduction To Abstract Algebra

A Gentle Introduction To Abstract Algebra

This book is a gentle introduction to abstract algebra. It is ideal as a text for a one semester course designed to provide a rst exposure of the subject to students in mathematics, science, or engineering. Covered topics are: Divisibility in the Integers, Rings and Fields, Vector Spaces, Spaces, Groups, Sets, Functions, and Relations.

s253 Pages
Abstract Algebra With Applications

Abstract Algebra With Applications

This book covers the following topics related to Abstract Algebra: The Integers, Foundations, Groups, Group homomorphisms and isomorphisms, Algebraic structures, Error correcting codes, Roots of polynomials, Moduli for polynomials and Nonsolvability by radicals.

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The Basics of Abstract Algebra (PDF 29P)

The Basics of Abstract Algebra (PDF 29P)

This note contains the details about the following subcategories, Relations, Functions, and Permutations, Some Elementary Number Theory and An Introduction to Group Theory

s29 Pages
Fields and Galois Theory

Fields and Galois Theory

These notes give a concise exposition of the theory of fields, including the Galois theory of finite and infinite extensions and the theory of transcendental extensions.

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Elements of Abstract and Linear Algebra

Elements of Abstract and Linear Algebra

This is a foundational textbook on abstract algebra with emphasis on linear algebra. Covered topics are: Background and Fundamentals of Mathematics, Groups, Rings, Matrices and Matrix Rings and Linear Algebra.

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Elementary Abstract Algebra

Elementary Abstract Algebra

This book covers the following topics: Binary Operations, Introduction to Groups, The Symmetric Groups, Subgroups, The Group of Units of Zn, Direct Products of Groups, Isomorphism of Groups, Cosets and Lagrange s Theorem, Introduction to Ring Theory, Axiomatic Treatment of R N Z Q and C, The Quaternions, The Circle Group.

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Abstract Algebra done Concretely

Abstract Algebra done Concretely

This note covers the following topics: Natural Numbers, Principles of Counting, Integers and Abelian groups, Divisibility, Congruences, Linear Diophantine equations, Subgroups of Abelian groups, Commutative Rings, A little Boolean Algebra, Fields, Polynomials over a Field, Quotients of Abelian groups, Orders of Abelian groups, Linear Algebra over, Nonabelian groups, Groups of Symmetries of Platonic Solids, Counting Problems involving Symmetry, Proofs of theorems about group actions, Homomorphisms between groups, The Braid Group, The Chinese remainder theorem, Quotients of polynomial rings, The finite Fourier transform.

s103 Pages
Abstract Algebra A Study Guide for Beginners 3rd Edition

Abstract Algebra A Study Guide for Beginners 3rd Edition

This study guide now contains over 600 problems, and more than half have detailed solutions, while about a fifth have either an answer or a hint. The ideal way to use the study guide is to work on a solved problem, and if you get stuck, just peek at the solution long enough to get started again.

s203 Pages
Course Notes   Abstract Algebra

Course Notes Abstract Algebra

This note covers the following topics related to Abstract Algebra: Topics in Group Theory, Rings and Polynomials, Introduction to Galois Theory, Commutative Algebra and Algebraic Geometry.

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Abstract Algebra The Basic Graduate Year

Abstract Algebra The Basic Graduate Year

This is a text for the basic graduate sequence in abstract algebra, offered by most universities. This book explains the fundamental algebraic structures, namely groups, rings, fields and modules, and maps between these structures.

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Introductory Lectures on Rings and Modules

Introductory Lectures on Rings and Modules

This book focuses on the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Covered topics are: Rings, Modules, Structure Of Noncommutative Rings, Representations Of Finite Groups.

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