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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 in GAP by Alexander Hulpke

Abstract Algebra in GAP by Alexander Hulpke

This book aims to give an introduction to using GAP with material appropriate for an undergraduate abstract algebra course. It does not even attempt to give an introduction to abstract algebra, there are many excellent books which do this. Topics covered includes: The GGAP user interface, Rings, Groups, Linear Algebra, Fields and Galois Theory, Number Theory.

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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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Abstract Algebra by Irena Swanson

Abstract Algebra by Irena Swanson

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Introduction to Abstract Algebra by Samir Siksek

Introduction to Abstract Algebra by Samir Siksek

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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.

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Advance Abstract Algebra

Advance Abstract Algebra

This note explains the following topics: Linear Transformations, Algebra Of Linear Transformations, Characteristic Roots, Characteristic Vectors, Matrix Of Transformation, Canonical Form, Nilpotent Transformation, Simple Modules, Simi-simple Modules, Free Modules, Noetherian And Artinian Modules, Noetherian And Artinian Rings, Smith Normal Form, Finitely Generated Abelian Groups.

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Abstract Algebra  Theory and Applications (PDF 442P)

Abstract Algebra Theory and Applications (PDF 442P)

Covered topics: Preliminaries, Integers, Groups, Cyclic Groups, Permutation Groups, Cosets and Lagrange's Theorem,  Introduction to Cryptography, Algebraic Coding Theory, Isomorphisms, Homomorphisms, Matrix Groups and Symmetry, The Structure of Groups, Group Actions, The Sylow Theorems, Rings, Polynomials, Integral Domains, Lattices and Boolean Algebras, Vector Spaces, Fields and Galois Theory

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The Basics of Abstract Algebra (PDF 29P)

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

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Elements of Abstract and Linear Algebra

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Elementary Abstract Algebra

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Intro Abstract Algebra

Intro Abstract Algebra

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Abstract Algebra done Concretely

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Abstract Algebra A Study Guide for Beginners 2nd Edition

Abstract Algebra A Study Guide for Beginners 2nd Edition

This study guide is intended to help students who are beginning to learn about abstract algebra. This book covers the following topics: Integers, Functions, Groups, Polynomials, Commutative Rings, Fields.

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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.

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Course Notes   Abstract Algebra

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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

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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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