# Math Help - Prove that every ideal of a Boolean algebra B is principal iff B is finite.

1. ## Prove that every ideal of a Boolean algebra B is principal iff B is finite.

Prove that every ideal of a Boolean algebra $B$ is principal iff $B$ is finite.

I cannot seem to prove either direction, here. I have photographed and uploaded the chapter text, which can be downloaded in pdf format here. The exercise in question is #10 from section 5.

Any help would be much appreciated!

2. Originally Posted by hatsoff
Prove that every ideal of a Boolean algebra $B$ is principal iff $B$ is finite.

I cannot seem to prove either direction, here. I have photographed and uploaded the chapter text, which can be downloaded in pdf format here. The exercise in question is #10 from section 5.

Any help would be much appreciated!
Your URL appears to be broken. Are you using Stoll?

3. Originally Posted by Drexel28
Your URL appears to be broken. Are you using Stoll?
the link worked fine for me. the OP is using Stoll's Set Theory and Logic