The ring Z60 is a field right?

So a list of all its ideals would be 0 and all the elements in Z60.

Is this correct?

And could someone just explain quickly what a homomorphic image is?

Thank you.

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- Nov 20th 2006, 04:38 AMSmitey42Z60
The ring Z60 is a field right?

So a list of all its ideals would be 0 and all the elements in Z60.

Is this correct?

And could someone just explain quickly what a homomorphic image is?

Thank you. - Nov 20th 2006, 07:48 AMThePerfectHacker
No, is it to a power of a prime? No it is not.

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So a list of all its ideals would be 0 and all the elements in Z60.

(Note: I worked on this problem before when you posted it and it got a little messy by looking at all the possible ideal. What I was doing was finding all the cyclic subgorups of this ring because they need to be cyclic for the additive group is cylcic)

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Is this correct?

Quote:

And could someone just explain quickly what a homomorphic image is?