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, 05:38 AM #1

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- Nov 20th 2006, 08:48 AM #2

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No, is it to a power of a prime? No it is not.

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)

Is this correct?

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