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January 18th, 2008, 08:54 AM  #1 
Newbie Joined: Jan 2008 Posts: 1 Thanks: 0  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. 