Syllabus and assumed background

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

If you've taken MAT2200 using Fraleigh's book, then this corresponds to chapters 18, 19, 21, 22, 23, 26, 27 & 30 in Fraleigh.