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January 18th, 2008, 07:54 AM   #1
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Localization, Stalks

Hallo,

Consider R is a commutative ring with 1, O is the structure sheaf defined in page 741 of the "Abstract Algebra" book by Foote,

I need to find the stalk at P in spec(R) in the case of:

R= Z / 11 Z

P= (2) ideal generated by 2.

All what I know up to now is stalk at (2) is isomorphic to the localization (Z/11Z) with respect to the prime ideal (2).

Now I need to find what is localization of (Z/11Z) with respect to the prime ideal (2) ??

I guess it will be zero but I couldn't move any step in the definition of the localization.

Thanks.
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