Well-Ordering Axiom (1)

Example (preservation of properties)

Ring Homomorphisms

Ring Isomorphisms

Congruence Classes

Example 2.1.6

Example (Solving Equations with Congruence Classes)

Addition and Multiplication in Congruence Classes

Properties of Modular Arithmetic

Units

Zero Divisors

Properties of Primes

Direct Product of Rings

Definition of a Ring

Theorem 1.3.7

Primality

Congrunce Modulo n

Bezout’s Identity for Integrs

Theorem 3.2.9

Theorem 3.2.4 and 3.2.7 (Cancellation Properties)

Theorem 3.2.3

Theorem 3.2.8

Units and Zero Divisors

Primality Testing (Theorem 1.3.10)

Example (Exercise 1.2.19)

Characterization of GCD

Example 1.1.7

Example 1.1.5

Statement of Division Algorithm

Video Quiz 11 (complex numbers)