last day (16 days later) » 

VVV
VVV
22:43
Hi
Dylan Moreland
Dylan Moreland
Hey there. What's up?
VVV
VVV
You asked something about my question
So to not embarass me I made this room
Dylan Moreland
Dylan Moreland
Ah. You shouldn't feel embarrassed for trying to figure things out.
:)
It was a minor point.
VVV
VVV
What would you write
instead of L=(l_{1},l_{2},l_{3})?
Dylan Moreland
Dylan Moreland
Well
(this is really very minor, I'm almost sorry for even bringing it up)
So, what is that line supposed to mean?
The notation of the problem is already sort of iffy, I guess.
VVV
VVV
22:48
Maybe I am not understanding anything because the chapter before was about modules
and groups were at the beginning of the book
Dylan Moreland
Dylan Moreland
You can use really similar ideas to prove an extension of this for finitely generated free modules over a PID.
So it's not a bad place for the problem.
See this handout of Brian Conrad's, for example.
I just wanted to get your notation straight because while I'm pretty sure I can show a path to a solution, I would rather see if your proof can be completed.
VVV
VVV
What was your intention to showing it?
Dylan Moreland
Dylan Moreland
Let me post some preliminary thoughts, and we'll see if you agree with my notation and idea
The handout? Just to say that in the end you will get a proof that will work for things that aren't just groups.
The handout would also show you how to do this problem, really, but it's a bit much to wade through.
VVV
VVV
I dont understand much of it!
Hopefully I will once...
And I meant your path to one of the problems of the book :)
VVV
VVV
23:12
Which book did you use to study?
Dylan Moreland
Dylan Moreland
I learned everything from Lang's Algebra. I would not recommend doing this.
People seem to really like Dummit and Foote's book.
Either that or Artin's Algebra. Those two are the big names.
VVV
VVV
Hmm aren't our arguments the same
You eliminate each coordinate, the third one is easy because it is only in u_{3}
But with your notation how do you specify one coordinate?

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