Syllabus and assumed background_澳门葡京手机版app下载

jorgeren
2024-08-08T12:42:04.674Z
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www.uio.no

We'll mainly follow the book Introduction to Commutative Algebra by Atiyah and Macdonald, see the syllabus page here for a preliminary estimate of what we'll cover.

I will assume you have experience with ring theory at the level of MAT2200. I plan to go over that material in the first few lectures, but before we start you may want to review the following concepts and how they relate to one another.

Rings

Ring homomorphisms

Commutative rings

Ideals

Quotient rings

Polynomial rings

Irreducible polynomials

Prime ideals

Maximal ideals

Integral domains

Fields

The field of quotients of an integral domain

Vector spaces...