What do I need to know to understand Lam's Serre's Problem on projective modules

Question

What do I need to know to understand this book: Lam's Serre's Problem on projective modules?

I've already read Hungerford's book and Atiyah and Macdonald's book, however when I started to read the first pages of the Lam's book, I was surprised with a definition of projective modules very different I know from Hungerford's one.

My question is what I have to know to understand this book?

EDIT

Regarding the background needed, the author only mentions this quote: "... a good grounding in graduate level algebra is assumed." which doesn't help me very much.

Thanks in advance

Answer 1

Allow me to quote the book:

"... a good grounding in graduate level algebra is assumed."

However, he introduces some commutative algebra in the first chapter.