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a picard group is the set of isomorphism classes of invertible R-modules. I just read that phrase in the CRing project notes without further explanations:

Here are my questions:

1-under which law (I am guessing it's a restriction of a tensor product) how could we restrict it to classes? 3-why an abelian group?

I am not familiar with any algebraic geometry. Thus shall be grateful to you for using a basic vocabulary :)

Many thanks

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    many thanks for your comments that makes sense to me now2011-05-20

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