Field Theory

Topics §

• Ring Theory — Notation Guide - All notation for fields are provided here.

• Fundamental Constructs of Field Theory

• Quotient Field

• Prime Field

• Extension Field and Polynomials

• Algebraic Extension

• Algebraic Closure

• Galois Field

Links §

• Ring Theory - fields are rings where multiplication is commutative and division is well-defined.

• Abstract Algebra by Dummit and Foote

• A First Course in Abstract Algebra 7th Edition by Fraleigh