Algebraic number theory: some examples

During the previous office hour, I was asked two questions that I didn’t answer too clearly. So I thought I’d put up written versions.

Primitive elements: an example

Example of an integral basis

The second note corrects a mistake from the solutions to the coursework: The element (\sqrt{2}+\sqrt{6})/2 does *not* have an Eisenstein minimal polynomial.

Let me know if you need more elaboration.
MK

Advertisements

2 Comments

  1. SL
    Posted March 3, 2008 at 2:47 pm | Permalink | Reply

    god i’m really rusty on this actually:p. thx!

  2. Ka
    Posted March 5, 2008 at 11:32 pm | Permalink | Reply

    Thank you for explaining them once again.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: