Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates

Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates

Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates / Abstract Algebra: The Basic Graduate Year by Robert B. Ash.

Description

This survey of fundamental algebraic structures employs techniques applicable to mathematics, physics, engineering, and computer science. Topics include relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of number theory, geometry, and noncommutative and homological algebra.

Table of Contents

  • Prerequisites
  • Group Fundamentals
  • Ring Fundamentals
  • Field Fundamentals
  • Module Fundamentals
  • Some Basic Techniques of Group Theory
  • Galois Theory
  • Introducing Algebraic Number Theory
  • Introducing Algebraic Geometry
  • Introducing Noncommutative Algebra
  • Introducing Homological Algebra

Book Details

Author(s): Robert B. Ash
Publisher: Dover Publications
Format(s): PDF
File size: –
Number of pages: 432
Link: Basic Abstract Algebra [PDF]







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