Okay. So Theta ranges from 0 to y=x, therefore it goes from 0 to pi/4, yes?
So when you're finding the bounds for r and theta, is it necessary to draw the 3d graph? It looks like you can find the bounds just by drawing it on the xy plane.
And since we're in cyclindrical, and not spherical...
Homework Statement
I took a picture of the problem so it would be easier to understand.
All I need to know is what the bounds are.
Homework Equations
In cylindrical:
x=rcos(theta)
y=rsin(theta)
z=z
The Attempt at a Solution
I don't know why we should change this to...
Yeah. I know the definition of ideal. I've just been doing abstract algebra for the last few hours, and I think my brain may have gone a little soft and mushy.
Thanks for the willingness to help!
Oh, dang. Equivalence classes aren't ideals. Wow. Not sure what I was thinking.
All right. So it turns out that I actually have NO idea what I'm doing. Guess it's back to the drawing board.
Homework Statement
a) Show that there is exactly one maximal ideal in Z_8 and in Z_9.
b) Show that Z_10 and Z_15 have more than one maximal ideal.
Homework Equations
I know a maximal ideal is one that is not contained within any other ideal (except for the ring itself)
By...