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.
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.
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