## 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 does *not* have an Eisenstein minimal polynomial.

Let me know if you need more elaboration.

MK

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## 2 Comments

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

Thank you for explaining them once again.