Exercise in Atiyah (localization)

Question

Let me refer you to:

Page 2, ex. 4

Can you please explain the following step:

$tb=f(s')b=s'b$

Why $f(s')=s'$ ?

Thanks

@user6495: That is a 16-page document. You need to be more specific about where. — Zev Chonoles, Apr 29 '11 at 22:59

score 2 · Accepted Answer · answered Apr 29 '11 at 23:03

2

Hint: We have a map $f:A\rightarrow B$. This makes $B$ into an $A$-module. What is the definition of "$ab$", for $a\in A$ and $b\in B$?

answered Apr 29 '11 at 23:03

Zev Chonoles

ab=f(a)b, right? Thanks! Damn it. can't believe I forgot this. – user6495 Apr 29 '11 at 23:06
@user 6495: Exactly right. Don't worry, happens to all of us :) – Zev Chonoles Apr 29 '11 at 23:07

1 Answers1