Theorem || Sum of Two Ideals A & B Equals The Ideal Generated by G.C.D of Their Generators 'a' & 'b'

Theorem || Sum of Two Ideals A & B Equals The Ideal Generated by G.C.D of Their Generators "a" & "b"

**Learn about the fundamental theorem of ideal theory in abstract algebra, which states that the sum of two ideals A & B in a principal ideal domain (PID) is equal to the ideal generated by the greatest common divisor of their generators "a" & "b".**

In this video, we will discuss the following:

* What are ideals in abstract algebra?
* What is the greatest common divisor of two integers?
* What is a principal ideal domain?
* The fundamental theorem of ideal theory

This video is perfect for anyone who is interested in learning more about abstract algebra, number theory, or ring theory.

**Watch the video now to learn more!**

I hope this helps!