Hello all, I was wondering if I could get some help proving the following statement:

where is the integers localised at the prime ideal <2>.

Can anyone give me some hints as to how to calculate this?

Any help would be appreciated.

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- Dec 9th 2011, 06:47 AMslevvioTensor Product of Modules
Hello all, I was wondering if I could get some help proving the following statement:

where is the integers localised at the prime ideal <2>.

Can anyone give me some hints as to how to calculate this?

Any help would be appreciated. - Dec 9th 2011, 08:49 AMNonCommAlgRe: Tensor Product of Modules
let's consider a more general case: let be a commutative ring with 1 and let be an ideal of let be a multiplicatively closed subset of with and suppose that every element of is invertible modulo i.e. is an invertible element of for all then

because the natural -module homomorphism defined by is an isomorphism (why?). thus