12 - The Fundamental Theorem of Arithmetic in k(1), k(i) and k(p)

Table of contents

• 12.1 Algebraic Numbers and Integers
• 12.2 The Rational Integers, the Gaussian Integers, and the Integers of k(\rho)
• 12.3 Euclid’s Algorithm
• 12.4 Application of Euclid’s Algorithm to the Fundamental Theorem in k(1)
• 12.5 Historical Remarks on the ftoa and Euclid’s Algorithm
• 12.6 Properties of the Gaussian Integers
• 12.7 Primes in k(i)
• 12.8 The Fundamental Theorem of Arithmetic in k(i)
• The Integers of k(\rho)

12.1 Algebraic Numbers and Integers

12.2 The Rational Integers, the Gaussian Integers, and the Integers of $k(\rho )$

12.3 Euclid’s Algorithm

12.4 Application of Euclid’s Algorithm to the Fundamental Theorem in $k(1)$

12.5 Historical Remarks on the ftoa and Euclid’s Algorithm

12.6 Properties of the Gaussian Integers

12.7 Primes in $k(i)$

12.8 The Fundamental Theorem of Arithmetic in $k(i)$

The Integers of $k(\rho )$